What is the Greatest Common Factor of 87907 and 87924?

Greatest common factor (GCF) of 87907 and 87924 is 17.

GCF(87907,87924) = 17

We will now calculate the prime factors of 87907 and 87924, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87907 and 87924.

How to find the GCF of 87907 and 87924?

We will first find the prime factorization of 87907 and 87924. After we will calculate the factors of 87907 and 87924 and find the biggest common factor number .

Step-1: Prime Factorization of 87907

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

87907 = 17¹ × 5171¹

Step-2: Prime Factorization of 87924

Prime factors of 87924 are 2, 3, 17, 431. Prime factorization of 87924 in exponential form is:

87924 = 2² × 3¹ × 17¹ × 431¹

Step-3: Factors of 87907

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

1, 17, 5171

Step-4: Factors of 87924

List of positive integer factors of 87924 that divides 87907 without a remainder.

1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204, 431, 862, 1293, 1724, 2586, 5172, 7327, 14654, 21981, 29308, 43962

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87907 and 87924. The biggest common factor number is the GCF number.
So the greatest common factor 87907 and 87924 is 17.

Also check out the Least Common Multiple of 87907 and 87924