Question

Find the HCF by the method of prime factorization​

Answer 1

Answer:

14

Step-by-step explanation:

Prime Factorization of 84

Prime factors of 84 are 2, 3, 7. Prime factorization of 84 in exponential form is:

84 = 2^2 × 3^1 × 7^1

Prime Factorization of 98

Prime factors of 98 are 2, 7. Prime factorization of 98 in exponential form is:

98 = 2^1 × 7^2

HCF=2*7

=14

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Answer 2

Prime Factorization of 84

Prime factors of 84 are 2, 3, 7. Prime factorization of 84 in exponential form is:

84 = 22 × 31 × 71

Prime Factorization of 98

Prime factors of 98 are 2, 7. Prime factorization of 98 in exponential form is:

98 = 21 × 72

Factors of 84

List of positive integer factors of 84 that divides 84 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42

Factors of 98

List of positive integer factors of 98 that divides 84 without a remainder.

1, 2, 7, 14, 49

Greatest Common Factor

We found the factors and prime factorization of 84 and 98. The biggest common factor number is the GCF number.

So the greatest common factor 84 and 98 is 14.