What is the Greatest Common Factor of 91008 and 91022?

Greatest common factor (GCF) of 91008 and 91022 is 2.

GCF(91008,91022) = 2

We will now calculate the prime factors of 91008 and 91022, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91008 and 91022.

How to find the GCF of 91008 and 91022?

We will first find the prime factorization of 91008 and 91022. After we will calculate the factors of 91008 and 91022 and find the biggest common factor number .

Step-1: Prime Factorization of 91008

Prime factors of 91008 are 2, 3, 79. Prime factorization of 91008 in exponential form is:

91008 = 2⁷ × 3² × 79¹

Step-2: Prime Factorization of 91022

Prime factors of 91022 are 2, 71, 641. Prime factorization of 91022 in exponential form is:

91022 = 2¹ × 71¹ × 641¹

Step-3: Factors of 91008

List of positive integer factors of 91008 that divides 91008 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 79, 96, 128, 144, 158, 192, 237, 288, 316, 384, 474, 576, 632, 711, 948, 1152, 1264, 1422, 1896, 2528, 2844, 3792, 5056, 5688, 7584, 10112, 11376, 15168, 22752, 30336, 45504

Step-4: Factors of 91022

List of positive integer factors of 91022 that divides 91008 without a remainder.

1, 2, 71, 142, 641, 1282, 45511

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 91008 and 91022. The biggest common factor number is the GCF number.
So the greatest common factor 91008 and 91022 is 2.

Also check out the Least Common Multiple of 91008 and 91022