What is the Greatest Common Factor of 97684 and 97692?

Greatest common factor (GCF) of 97684 and 97692 is 4.

GCF(97684,97692) = 4

We will now calculate the prime factors of 97684 and 97692, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97684 and 97692.

How to find the GCF of 97684 and 97692?

We will first find the prime factorization of 97684 and 97692. After we will calculate the factors of 97684 and 97692 and find the biggest common factor number .

Step-1: Prime Factorization of 97684

Prime factors of 97684 are 2, 24421. Prime factorization of 97684 in exponential form is:

97684 = 2² × 24421¹

Step-2: Prime Factorization of 97692

Prime factors of 97692 are 2, 3, 7, 1163. Prime factorization of 97692 in exponential form is:

97692 = 2² × 3¹ × 7¹ × 1163¹

Step-3: Factors of 97684

List of positive integer factors of 97684 that divides 97684 without a remainder.

1, 2, 4, 24421, 48842

Step-4: Factors of 97692

List of positive integer factors of 97692 that divides 97684 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 1163, 2326, 3489, 4652, 6978, 8141, 13956, 16282, 24423, 32564, 48846

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97684 and 97692. The biggest common factor number is the GCF number.
So the greatest common factor 97684 and 97692 is 4.

Also check out the Least Common Multiple of 97684 and 97692