Question

find the common factors of the following numbers (a) 35 and 55​

Answer 1

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Step-by-step explanation:

Greatest common factor (GCF) of 35 and 55 is 5. We will now calculate the prime factors of 35 and 55, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35 and 55.

Prime factors of 35 are 5, 7. Prime factorization of 35 in exponential form is:

35 = 5¹ × 7¹

Prime Factorization of 55

Prime factors of 55 are 5, 11. Prime factorization of 55 in exponential form is:

55 = 5¹× 11¹

List of positive integer factors of 35 that divides 35 without a remainder.

1, 5, 7

Step-4: Factors of 55

List of positive integer factors of 55 that divides 35 without a remainder.

1, 5, 11

common factor is 5

Answer 2

Common factor of 35 and 55 is 5