What is the Greatest Common Factor of 9656 and 9674?
Greatest common factor (GCF) of 9656 and 9674 is 2.
GCF(9656,9674) = 2
We will now calculate the prime factors of 9656 and 9674, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9656 and 9674.
How to find the GCF of 9656 and 9674?
We will first find the prime factorization of 9656 and 9674. After we will calculate the factors of 9656 and 9674 and find the biggest common factor number .
Step-1: Prime Factorization of 9656
Prime factors of 9656 are 2, 17, 71. Prime factorization of 9656 in exponential form is:
9656 = 23 × 171 × 711
Step-2: Prime Factorization of 9674
Prime factors of 9674 are 2, 7, 691. Prime factorization of 9674 in exponential form is:
9674 = 21 × 71 × 6911
Step-3: Factors of 9656
List of positive integer factors of 9656 that divides 9656 without a remainder.
1, 2, 4, 8, 17, 34, 68, 71, 136, 142, 284, 568, 1207, 2414, 4828
Step-4: Factors of 9674
List of positive integer factors of 9674 that divides 9656 without a remainder.
1, 2, 7, 14, 691, 1382, 4837
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 9656 and 9674. The biggest common factor number is the GCF number.
So the greatest common factor 9656 and 9674 is 2.
Also check out the Least Common Multiple of 9656 and 9674
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