What is the Greatest Common Factor of 89508 and 89514?

Greatest common factor (GCF) of 89508 and 89514 is 6.

GCF(89508,89514) = 6

We will now calculate the prime factors of 89508 and 89514, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89508 and 89514.

How to find the GCF of 89508 and 89514?

We will first find the prime factorization of 89508 and 89514. After we will calculate the factors of 89508 and 89514 and find the biggest common factor number .

Step-1: Prime Factorization of 89508

Prime factors of 89508 are 2, 3, 7459. Prime factorization of 89508 in exponential form is:

89508 = 2² × 3¹ × 7459¹

Step-2: Prime Factorization of 89514

Prime factors of 89514 are 2, 3, 4973. Prime factorization of 89514 in exponential form is:

89514 = 2¹ × 3² × 4973¹

Step-3: Factors of 89508

List of positive integer factors of 89508 that divides 89508 without a remainder.

1, 2, 3, 4, 6, 12, 7459, 14918, 22377, 29836, 44754

Step-4: Factors of 89514

List of positive integer factors of 89514 that divides 89508 without a remainder.

1, 2, 3, 6, 9, 18, 4973, 9946, 14919, 29838, 44757

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89508 and 89514. The biggest common factor number is the GCF number.
So the greatest common factor 89508 and 89514 is 6.

Also check out the Least Common Multiple of 89508 and 89514