What is the Greatest Common Factor of 87919 and 87932?

Greatest common factor (GCF) of 87919 and 87932 is 13.

GCF(87919,87932) = 13

We will now calculate the prime factors of 87919 and 87932, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87919 and 87932.

How to find the GCF of 87919 and 87932?

We will first find the prime factorization of 87919 and 87932. After we will calculate the factors of 87919 and 87932 and find the biggest common factor number .

Step-1: Prime Factorization of 87919

Prime factors of 87919 are 13, 6763. Prime factorization of 87919 in exponential form is:

87919 = 13¹ × 6763¹

Step-2: Prime Factorization of 87932

Prime factors of 87932 are 2, 13, 19, 89. Prime factorization of 87932 in exponential form is:

87932 = 2² × 13¹ × 19¹ × 89¹

Step-3: Factors of 87919

List of positive integer factors of 87919 that divides 87919 without a remainder.

1, 13, 6763

Step-4: Factors of 87932

List of positive integer factors of 87932 that divides 87919 without a remainder.

1, 2, 4, 13, 19, 26, 38, 52, 76, 89, 178, 247, 356, 494, 988, 1157, 1691, 2314, 3382, 4628, 6764, 21983, 43966

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87919 and 87932. The biggest common factor number is the GCF number.
So the greatest common factor 87919 and 87932 is 13.

Also check out the Least Common Multiple of 87919 and 87932