What is the Greatest Common Factor of 97629 and 97636?

Greatest common factor (GCF) of 97629 and 97636 is 7.

GCF(97629,97636) = 7

We will now calculate the prime factors of 97629 and 97636, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97629 and 97636.

How to find the GCF of 97629 and 97636?

We will first find the prime factorization of 97629 and 97636. After we will calculate the factors of 97629 and 97636 and find the biggest common factor number .

Step-1: Prime Factorization of 97629

Prime factors of 97629 are 3, 7, 4649. Prime factorization of 97629 in exponential form is:

97629 = 3¹ × 7¹ × 4649¹

Step-2: Prime Factorization of 97636

Prime factors of 97636 are 2, 7, 11, 317. Prime factorization of 97636 in exponential form is:

97636 = 2² × 7¹ × 11¹ × 317¹

Step-3: Factors of 97629

List of positive integer factors of 97629 that divides 97629 without a remainder.

1, 3, 7, 21, 4649, 13947, 32543

Step-4: Factors of 97636

List of positive integer factors of 97636 that divides 97629 without a remainder.

1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308, 317, 634, 1268, 2219, 3487, 4438, 6974, 8876, 13948, 24409, 48818

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97629 and 97636. The biggest common factor number is the GCF number.
So the greatest common factor 97629 and 97636 is 7.

Also check out the Least Common Multiple of 97629 and 97636