What is the Greatest Common Factor of 89607 and 89614?

Greatest common factor (GCF) of 89607 and 89614 is 7.

GCF(89607,89614) = 7

We will now calculate the prime factors of 89607 and 89614, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89607 and 89614.

How to find the GCF of 89607 and 89614?

We will first find the prime factorization of 89607 and 89614. After we will calculate the factors of 89607 and 89614 and find the biggest common factor number .

Step-1: Prime Factorization of 89607

Prime factors of 89607 are 3, 7, 17, 251. Prime factorization of 89607 in exponential form is:

89607 = 3¹ × 7¹ × 17¹ × 251¹

Step-2: 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-3: Factors of 89607

List of positive integer factors of 89607 that divides 89607 without a remainder.

1, 3, 7, 17, 21, 51, 119, 251, 357, 753, 1757, 4267, 5271, 12801, 29869

Step-4: Factors of 89614

List of positive integer factors of 89614 that divides 89607 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89607 and 89614. The biggest common factor number is the GCF number.
So the greatest common factor 89607 and 89614 is 7.

Also check out the Least Common Multiple of 89607 and 89614