What is the Greatest Common Factor of 87892 and 87900?

Greatest common factor (GCF) of 87892 and 87900 is 4.

GCF(87892,87900) = 4

We will now calculate the prime factors of 87892 and 87900, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87892 and 87900.

How to find the GCF of 87892 and 87900?

We will first find the prime factorization of 87892 and 87900. After we will calculate the factors of 87892 and 87900 and find the biggest common factor number .

Step-1: Prime Factorization of 87892

Prime factors of 87892 are 2, 7, 43, 73. Prime factorization of 87892 in exponential form is:

87892 = 2² × 7¹ × 43¹ × 73¹

Step-2: 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-3: Factors of 87892

List of positive integer factors of 87892 that divides 87892 without a remainder.

1, 2, 4, 7, 14, 28, 43, 73, 86, 146, 172, 292, 301, 511, 602, 1022, 1204, 2044, 3139, 6278, 12556, 21973, 43946

Step-4: Factors of 87900

List of positive integer factors of 87900 that divides 87892 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87892 and 87900. The biggest common factor number is the GCF number.
So the greatest common factor 87892 and 87900 is 4.

Also check out the Least Common Multiple of 87892 and 87900