prime factorisation to find HCF of 70 and 77
Answers
ANSWER :--
7 IS THE ANSWER
SOLUTION :--
70 = 2 × 5 × 7
77 = 7 × 11
☆ WE CAN CLEARLY SEE THAT 7 IS COMMON
IN BOTH THE FACTORS
=》 SO , H.C.F OF 70 AND 77 IS 7 .
HOPE IT HELPS YOU
Answer:
The HCF of 70 and 77 is 7.
Step-by-step explanation:
Step-1: Prime Factorization of 70
Prime factors of 70 are 2, 5, 7. Prime factorization of 70 in exponential form is:
70 = 21 × 51 × 71
Step-2: Prime Factorization of 77
Prime factors of 77 are 7, 11. Prime factorization of 77 in exponential form is:
77 = 71 × 111
Step-3: Factors of 70
List of positive integer factors of 70 that divides 70 without a remainder.
1, 2, 5, 7, 10, 14, 35
Step-4: Factors of 77
List of positive integer factors of 77 that divides 70 without a remainder.
1, 7, 11
Final Step: Greatest Common Factor Number
We found the factors and prime factorization of 70 and 77. The biggest common factor number is the GCF number.
So the greatest common factor 70 and 77 is 7.
HOPE IT HELPS..