What is the Greatest Common Factor of 87924 and 87937?

Greatest common factor (GCF) of 87924 and 87937 is 1.

GCF(87924,87937) = 1

We will now calculate the prime factors of 87924 and 87937, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87924 and 87937.

How to find the GCF of 87924 and 87937?

We will first find the prime factorization of 87924 and 87937. After we will calculate the factors of 87924 and 87937 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 87937

Prime factors of 87937 are 47, 1871. Prime factorization of 87937 in exponential form is:

87937 = 47¹ × 1871¹

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 87937

List of positive integer factors of 87937 that divides 87924 without a remainder.

1, 47, 1871

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87924 and 87937. The biggest common factor number is the GCF number.
So the greatest common factor 87924 and 87937 is 1.

Also check out the Least Common Multiple of 87924 and 87937