What is the Greatest Common Factor of 87039 and 87057?

Greatest common factor (GCF) of 87039 and 87057 is 9.

GCF(87039,87057) = 9

We will now calculate the prime factors of 87039 and 87057, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87039 and 87057.

How to find the GCF of 87039 and 87057?

We will first find the prime factorization of 87039 and 87057. After we will calculate the factors of 87039 and 87057 and find the biggest common factor number .

Step-1: Prime Factorization of 87039

Prime factors of 87039 are 3, 19, 509. Prime factorization of 87039 in exponential form is:

87039 = 3² × 19¹ × 509¹

Step-2: Prime Factorization of 87057

Prime factors of 87057 are 3, 17, 569. Prime factorization of 87057 in exponential form is:

87057 = 3² × 17¹ × 569¹

Step-3: Factors of 87039

List of positive integer factors of 87039 that divides 87039 without a remainder.

1, 3, 9, 19, 57, 171, 509, 1527, 4581, 9671, 29013

Step-4: Factors of 87057

List of positive integer factors of 87057 that divides 87039 without a remainder.

1, 3, 9, 17, 51, 153, 569, 1707, 5121, 9673, 29019

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87039 and 87057. The biggest common factor number is the GCF number.
So the greatest common factor 87039 and 87057 is 9.

Also check out the Least Common Multiple of 87039 and 87057