What is the Greatest Common Factor of 87900 and 87910?

Greatest common factor (GCF) of 87900 and 87910 is 10.

GCF(87900,87910) = 10

We will now calculate the prime factors of 87900 and 87910, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87900 and 87910.

How to find the GCF of 87900 and 87910?

We will first find the prime factorization of 87900 and 87910. After we will calculate the factors of 87900 and 87910 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 87910

Prime factors of 87910 are 2, 5, 59, 149. Prime factorization of 87910 in exponential form is:

87910 = 2¹ × 5¹ × 59¹ × 149¹

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 87910

List of positive integer factors of 87910 that divides 87900 without a remainder.

1, 2, 5, 10, 59, 118, 149, 295, 298, 590, 745, 1490, 8791, 17582, 43955

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87900 and 87910. The biggest common factor number is the GCF number.
So the greatest common factor 87900 and 87910 is 10.

Also check out the Least Common Multiple of 87900 and 87910