What is the Greatest Common Factor of 91672 and 91686?

Greatest common factor (GCF) of 91672 and 91686 is 14.

GCF(91672,91686) = 14

We will now calculate the prime factors of 91672 and 91686, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91672 and 91686.

How to find the GCF of 91672 and 91686?

We will first find the prime factorization of 91672 and 91686. After we will calculate the factors of 91672 and 91686 and find the biggest common factor number .

Step-1: Prime Factorization of 91672

Prime factors of 91672 are 2, 7, 1637. Prime factorization of 91672 in exponential form is:

91672 = 2³ × 7¹ × 1637¹

Step-2: Prime Factorization of 91686

Prime factors of 91686 are 2, 3, 7, 37, 59. Prime factorization of 91686 in exponential form is:

91686 = 2¹ × 3¹ × 7¹ × 37¹ × 59¹

Step-3: Factors of 91672

List of positive integer factors of 91672 that divides 91672 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 1637, 3274, 6548, 11459, 13096, 22918, 45836

Step-4: Factors of 91686

List of positive integer factors of 91686 that divides 91672 without a remainder.

1, 2, 3, 6, 7, 14, 21, 37, 42, 59, 74, 111, 118, 177, 222, 259, 354, 413, 518, 777, 826, 1239, 1554, 2183, 2478, 4366, 6549, 13098, 15281, 30562, 45843

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 91672 and 91686. The biggest common factor number is the GCF number.
So the greatest common factor 91672 and 91686 is 14.

Also check out the Least Common Multiple of 91672 and 91686