What is the Greatest Common Factor of 89624 and 89641?

Greatest common factor (GCF) of 89624 and 89641 is 17.

GCF(89624,89641) = 17

We will now calculate the prime factors of 89624 and 89641, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89624 and 89641.

How to find the GCF of 89624 and 89641?

We will first find the prime factorization of 89624 and 89641. After we will calculate the factors of 89624 and 89641 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 89641

Prime factors of 89641 are 17, 5273. Prime factorization of 89641 in exponential form is:

89641 = 17¹ × 5273¹

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 89641

List of positive integer factors of 89641 that divides 89624 without a remainder.

1, 17, 5273

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89624 and 89641. The biggest common factor number is the GCF number.
So the greatest common factor 89624 and 89641 is 17.

Also check out the Least Common Multiple of 89624 and 89641