What is the Greatest Common Factor of 91638 and 91656?

Greatest common factor (GCF) of 91638 and 91656 is 18.

GCF(91638,91656) = 18

We will now calculate the prime factors of 91638 and 91656, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91638 and 91656.

How to find the GCF of 91638 and 91656?

We will first find the prime factorization of 91638 and 91656. After we will calculate the factors of 91638 and 91656 and find the biggest common factor number .

Step-1: Prime Factorization of 91638

Prime factors of 91638 are 2, 3, 1697. Prime factorization of 91638 in exponential form is:

91638 = 2¹ × 3³ × 1697¹

Step-2: Prime Factorization of 91656

Prime factors of 91656 are 2, 3, 19, 67. Prime factorization of 91656 in exponential form is:

91656 = 2³ × 3² × 19¹ × 67¹

Step-3: Factors of 91638

List of positive integer factors of 91638 that divides 91638 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 1697, 3394, 5091, 10182, 15273, 30546, 45819

Step-4: Factors of 91656

List of positive integer factors of 91656 that divides 91638 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 19, 24, 36, 38, 57, 67, 72, 76, 114, 134, 152, 171, 201, 228, 268, 342, 402, 456, 536, 603, 684, 804, 1206, 1273, 1368, 1608, 2412, 2546, 3819, 4824, 5092, 7638, 10184, 11457, 15276, 22914, 30552, 45828

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 91638 and 91656. The biggest common factor number is the GCF number.
So the greatest common factor 91638 and 91656 is 18.

Also check out the Least Common Multiple of 91638 and 91656