What is the Greatest Common Factor of 91623 and 91629?

Greatest common factor (GCF) of 91623 and 91629 is 3.

GCF(91623,91629) = 3

We will now calculate the prime factors of 91623 and 91629, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91623 and 91629.

How to find the GCF of 91623 and 91629?

We will first find the prime factorization of 91623 and 91629. After we will calculate the factors of 91623 and 91629 and find the biggest common factor number .

Step-1: Prime Factorization of 91623

Prime factors of 91623 are 3, 7, 4363. Prime factorization of 91623 in exponential form is:

91623 = 3¹ × 7¹ × 4363¹

Step-2: Prime Factorization of 91629

Prime factors of 91629 are 3, 10181. Prime factorization of 91629 in exponential form is:

91629 = 3² × 10181¹

Step-3: Factors of 91623

List of positive integer factors of 91623 that divides 91623 without a remainder.

1, 3, 7, 21, 4363, 13089, 30541

Step-4: Factors of 91629

List of positive integer factors of 91629 that divides 91623 without a remainder.

1, 3, 9, 10181, 30543

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 91623 and 91629. The biggest common factor number is the GCF number.
So the greatest common factor 91623 and 91629 is 3.

Also check out the Least Common Multiple of 91623 and 91629