What is the Greatest Common Factor of 97672 and 97686?

Greatest common factor (GCF) of 97672 and 97686 is 2.

GCF(97672,97686) = 2

We will now calculate the prime factors of 97672 and 97686, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97672 and 97686.

How to find the GCF of 97672 and 97686?

We will first find the prime factorization of 97672 and 97686. After we will calculate the factors of 97672 and 97686 and find the biggest common factor number .

Step-1: Prime Factorization of 97672

Prime factors of 97672 are 2, 29, 421. Prime factorization of 97672 in exponential form is:

97672 = 2³ × 29¹ × 421¹

Step-2: Prime Factorization of 97686

Prime factors of 97686 are 2, 3, 67. Prime factorization of 97686 in exponential form is:

97686 = 2¹ × 3⁶ × 67¹

Step-3: Factors of 97672

List of positive integer factors of 97672 that divides 97672 without a remainder.

1, 2, 4, 8, 29, 58, 116, 232, 421, 842, 1684, 3368, 12209, 24418, 48836

Step-4: Factors of 97686

List of positive integer factors of 97686 that divides 97672 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 67, 81, 134, 162, 201, 243, 402, 486, 603, 729, 1206, 1458, 1809, 3618, 5427, 10854, 16281, 32562, 48843

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97672 and 97686. The biggest common factor number is the GCF number.
So the greatest common factor 97672 and 97686 is 2.

Also check out the Least Common Multiple of 97672 and 97686