What is the Greatest Common Factor of 87900 and 87920?

Greatest common factor (GCF) of 87900 and 87920 is 20.

GCF(87900,87920) = 20

We will now calculate the prime factors of 87900 and 87920, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87900 and 87920.

How to find the GCF of 87900 and 87920?

We will first find the prime factorization of 87900 and 87920. After we will calculate the factors of 87900 and 87920 and find the biggest common factor number .

Step-1: Prime Factorization of 87900

Prime factors of 87900 are 2, 3, 5, 293. Prime factorization of 87900 in exponential form is:

87900 = 2² × 3¹ × 5² × 293¹

Step-2: Prime Factorization of 87920

Prime factors of 87920 are 2, 5, 7, 157. Prime factorization of 87920 in exponential form is:

87920 = 2⁴ × 5¹ × 7¹ × 157¹

Step-3: Factors of 87900

List of positive integer factors of 87900 that divides 87900 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 293, 300, 586, 879, 1172, 1465, 1758, 2930, 3516, 4395, 5860, 7325, 8790, 14650, 17580, 21975, 29300, 43950

Step-4: Factors of 87920

List of positive integer factors of 87920 that divides 87900 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 157, 280, 314, 560, 628, 785, 1099, 1256, 1570, 2198, 2512, 3140, 4396, 5495, 6280, 8792, 10990, 12560, 17584, 21980, 43960

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87900 and 87920. The biggest common factor number is the GCF number.
So the greatest common factor 87900 and 87920 is 20.

Also check out the Least Common Multiple of 87900 and 87920