What is the Greatest Common Factor of 89624 and 89630?

Greatest common factor (GCF) of 89624 and 89630 is 2.

GCF(89624,89630) = 2

We will now calculate the prime factors of 89624 and 89630, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89624 and 89630.

How to find the GCF of 89624 and 89630?

We will first find the prime factorization of 89624 and 89630. After we will calculate the factors of 89624 and 89630 and find the biggest common factor number .

Step-1: Prime Factorization of 89624

Prime factors of 89624 are 2, 17, 659. Prime factorization of 89624 in exponential form is:

89624 = 2³ × 17¹ × 659¹

Step-2: Prime Factorization of 89630

Prime factors of 89630 are 2, 5, 8963. Prime factorization of 89630 in exponential form is:

89630 = 2¹ × 5¹ × 8963¹

Step-3: Factors of 89624

List of positive integer factors of 89624 that divides 89624 without a remainder.

1, 2, 4, 8, 17, 34, 68, 136, 659, 1318, 2636, 5272, 11203, 22406, 44812

Step-4: Factors of 89630

List of positive integer factors of 89630 that divides 89624 without a remainder.

1, 2, 5, 10, 8963, 17926, 44815

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89624 and 89630. The biggest common factor number is the GCF number.
So the greatest common factor 89624 and 89630 is 2.

Also check out the Least Common Multiple of 89624 and 89630