What is the Greatest Common Factor of 91008 and 91014?

Greatest common factor (GCF) of 91008 and 91014 is 6.

GCF(91008,91014) = 6

We will now calculate the prime factors of 91008 and 91014, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91008 and 91014.

How to find the GCF of 91008 and 91014?

We will first find the prime factorization of 91008 and 91014. After we will calculate the factors of 91008 and 91014 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 91014

Prime factors of 91014 are 2, 3, 7, 11, 197. Prime factorization of 91014 in exponential form is:

91014 = 2¹ × 3¹ × 7¹ × 11¹ × 197¹

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 91014

List of positive integer factors of 91014 that divides 91008 without a remainder.

1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 197, 231, 394, 462, 591, 1182, 1379, 2167, 2758, 4137, 4334, 6501, 8274, 13002, 15169, 30338, 45507

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 91008 and 91014. The biggest common factor number is the GCF number.
So the greatest common factor 91008 and 91014 is 6.

Also check out the Least Common Multiple of 91008 and 91014