What is the Greatest Common Factor of 91676 and 91689?

Greatest common factor (GCF) of 91676 and 91689 is 13.

GCF(91676,91689) = 13

We will now calculate the prime factors of 91676 and 91689, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91676 and 91689.

How to find the GCF of 91676 and 91689?

We will first find the prime factorization of 91676 and 91689. After we will calculate the factors of 91676 and 91689 and find the biggest common factor number .

Step-1: Prime Factorization of 91676

Prime factors of 91676 are 2, 13, 41, 43. Prime factorization of 91676 in exponential form is:

91676 = 2² × 13¹ × 41¹ × 43¹

Step-2: Prime Factorization of 91689

Prime factors of 91689 are 3, 13, 2351. Prime factorization of 91689 in exponential form is:

91689 = 3¹ × 13¹ × 2351¹

Step-3: Factors of 91676

List of positive integer factors of 91676 that divides 91676 without a remainder.

1, 2, 4, 13, 26, 41, 43, 52, 82, 86, 164, 172, 533, 559, 1066, 1118, 1763, 2132, 2236, 3526, 7052, 22919, 45838

Step-4: Factors of 91689

List of positive integer factors of 91689 that divides 91676 without a remainder.

1, 3, 13, 39, 2351, 7053, 30563

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 91676 and 91689. The biggest common factor number is the GCF number.
So the greatest common factor 91676 and 91689 is 13.

Also check out the Least Common Multiple of 91676 and 91689