What is the Greatest Common Factor of 87924 and 87944?

Greatest common factor (GCF) of 87924 and 87944 is 4.

GCF(87924,87944) = 4

We will now calculate the prime factors of 87924 and 87944, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87924 and 87944.

How to find the GCF of 87924 and 87944?

We will first find the prime factorization of 87924 and 87944. After we will calculate the factors of 87924 and 87944 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 87944

Prime factors of 87944 are 2, 10993. Prime factorization of 87944 in exponential form is:

87944 = 2³ × 10993¹

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 87944

List of positive integer factors of 87944 that divides 87924 without a remainder.

1, 2, 4, 8, 10993, 21986, 43972

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87924 and 87944. The biggest common factor number is the GCF number.
So the greatest common factor 87924 and 87944 is 4.

Also check out the Least Common Multiple of 87924 and 87944