What is the Greatest Common Factor of 87052 and 87059?

Greatest common factor (GCF) of 87052 and 87059 is 7.

GCF(87052,87059) = 7

We will now calculate the prime factors of 87052 and 87059, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87052 and 87059.

How to find the GCF of 87052 and 87059?

We will first find the prime factorization of 87052 and 87059. After we will calculate the factors of 87052 and 87059 and find the biggest common factor number .

Step-1: Prime Factorization of 87052

Prime factors of 87052 are 2, 7, 3109. Prime factorization of 87052 in exponential form is:

87052 = 2² × 7¹ × 3109¹

Step-2: Prime Factorization of 87059

Prime factors of 87059 are 7, 12437. Prime factorization of 87059 in exponential form is:

87059 = 7¹ × 12437¹

Step-3: Factors of 87052

List of positive integer factors of 87052 that divides 87052 without a remainder.

1, 2, 4, 7, 14, 28, 3109, 6218, 12436, 21763, 43526

Step-4: Factors of 87059

List of positive integer factors of 87059 that divides 87052 without a remainder.

1, 7, 12437

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87052 and 87059. The biggest common factor number is the GCF number.
So the greatest common factor 87052 and 87059 is 7.

Also check out the Least Common Multiple of 87052 and 87059