What is the Greatest Common Factor of 91008 and 91013?

Greatest common factor (GCF) of 91008 and 91013 is 1.

GCF(91008,91013) = 1

We will now calculate the prime factors of 91008 and 91013, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91008 and 91013.

How to find the GCF of 91008 and 91013?

We will first find the prime factorization of 91008 and 91013. After we will calculate the factors of 91008 and 91013 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 91013

Prime factors of 91013 are 13, 7001. Prime factorization of 91013 in exponential form is:

91013 = 13¹ × 7001¹

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 91013

List of positive integer factors of 91013 that divides 91008 without a remainder.

1, 13, 7001

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 91008 and 91013. The biggest common factor number is the GCF number.
So the greatest common factor 91008 and 91013 is 1.

Also check out the Least Common Multiple of 91008 and 91013