What is the Greatest Common Factor of 89500 and 89516?

Greatest common factor (GCF) of 89500 and 89516 is 4.

GCF(89500,89516) = 4

We will now calculate the prime factors of 89500 and 89516, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89500 and 89516.

How to find the GCF of 89500 and 89516?

We will first find the prime factorization of 89500 and 89516. After we will calculate the factors of 89500 and 89516 and find the biggest common factor number .

Step-1: Prime Factorization of 89500

Prime factors of 89500 are 2, 5, 179. Prime factorization of 89500 in exponential form is:

89500 = 2² × 5³ × 179¹

Step-2: Prime Factorization of 89516

Prime factors of 89516 are 2, 7, 23, 139. Prime factorization of 89516 in exponential form is:

89516 = 2² × 7¹ × 23¹ × 139¹

Step-3: Factors of 89500

List of positive integer factors of 89500 that divides 89500 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 179, 250, 358, 500, 716, 895, 1790, 3580, 4475, 8950, 17900, 22375, 44750

Step-4: Factors of 89516

List of positive integer factors of 89516 that divides 89500 without a remainder.

1, 2, 4, 7, 14, 23, 28, 46, 92, 139, 161, 278, 322, 556, 644, 973, 1946, 3197, 3892, 6394, 12788, 22379, 44758

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89500 and 89516. The biggest common factor number is the GCF number.
So the greatest common factor 89500 and 89516 is 4.

Also check out the Least Common Multiple of 89500 and 89516