What is the Greatest Common Factor of 87924 and 87939?

Greatest common factor (GCF) of 87924 and 87939 is 3.

GCF(87924,87939) = 3

We will now calculate the prime factors of 87924 and 87939, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87924 and 87939.

How to find the GCF of 87924 and 87939?

We will first find the prime factorization of 87924 and 87939. After we will calculate the factors of 87924 and 87939 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 87939

Prime factors of 87939 are 3, 3257. Prime factorization of 87939 in exponential form is:

87939 = 3³ × 3257¹

Step-3: Factors of 87924

List of positive integer factors of 87924 that divides 87924 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

Step-4: Factors of 87939

List of positive integer factors of 87939 that divides 87924 without a remainder.

1, 3, 9, 27, 3257, 9771, 29313

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87924 and 87939. The biggest common factor number is the GCF number.
So the greatest common factor 87924 and 87939 is 3.

Also check out the Least Common Multiple of 87924 and 87939