What is the Greatest Common Factor of 87900 and 87907?

Greatest common factor (GCF) of 87900 and 87907 is 1.

GCF(87900,87907) = 1

We will now calculate the prime factors of 87900 and 87907, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87900 and 87907.

How to find the GCF of 87900 and 87907?

We will first find the prime factorization of 87900 and 87907. After we will calculate the factors of 87900 and 87907 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 87907

Prime factors of 87907 are 17, 5171. Prime factorization of 87907 in exponential form is:

87907 = 17¹ × 5171¹

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 87907

List of positive integer factors of 87907 that divides 87900 without a remainder.

1, 17, 5171

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87900 and 87907. The biggest common factor number is the GCF number.
So the greatest common factor 87900 and 87907 is 1.

Also check out the Least Common Multiple of 87900 and 87907