What is the Greatest Common Factor of 97622 and 97636?

Greatest common factor (GCF) of 97622 and 97636 is 14.

GCF(97622,97636) = 14

We will now calculate the prime factors of 97622 and 97636, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97622 and 97636.

How to find the GCF of 97622 and 97636?

We will first find the prime factorization of 97622 and 97636. After we will calculate the factors of 97622 and 97636 and find the biggest common factor number .

Step-1: Prime Factorization of 97622

Prime factors of 97622 are 2, 7, 19, 367. Prime factorization of 97622 in exponential form is:

97622 = 2¹ × 7¹ × 19¹ × 367¹

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 97622

List of positive integer factors of 97622 that divides 97622 without a remainder.

1, 2, 7, 14, 19, 38, 133, 266, 367, 734, 2569, 5138, 6973, 13946, 48811

Step-4: Factors of 97636

List of positive integer factors of 97636 that divides 97622 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 97622 and 97636. The biggest common factor number is the GCF number.
So the greatest common factor 97622 and 97636 is 14.

Also check out the Least Common Multiple of 97622 and 97636