What is the Greatest Common Factor of 89614 and 89621?

Greatest common factor (GCF) of 89614 and 89621 is 7.

GCF(89614,89621) = 7

We will now calculate the prime factors of 89614 and 89621, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89614 and 89621.

How to find the GCF of 89614 and 89621?

We will first find the prime factorization of 89614 and 89621. After we will calculate the factors of 89614 and 89621 and find the biggest common factor number .

Step-1: Prime Factorization of 89614

Prime factors of 89614 are 2, 7, 37, 173. Prime factorization of 89614 in exponential form is:

89614 = 2¹ × 7¹ × 37¹ × 173¹

Step-2: Prime Factorization of 89621

Prime factors of 89621 are 7, 31, 59. Prime factorization of 89621 in exponential form is:

89621 = 7² × 31¹ × 59¹

Step-3: Factors of 89614

List of positive integer factors of 89614 that divides 89614 without a remainder.

1, 2, 7, 14, 37, 74, 173, 259, 346, 518, 1211, 2422, 6401, 12802, 44807

Step-4: Factors of 89621

List of positive integer factors of 89621 that divides 89614 without a remainder.

1, 7, 31, 49, 59, 217, 413, 1519, 1829, 2891, 12803

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89614 and 89621. The biggest common factor number is the GCF number.
So the greatest common factor 89614 and 89621 is 7.

Also check out the Least Common Multiple of 89614 and 89621