What is the Greatest Common Factor of 87052 and 87068?

Greatest common factor (GCF) of 87052 and 87068 is 4.

GCF(87052,87068) = 4

We will now calculate the prime factors of 87052 and 87068, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87052 and 87068.

How to find the GCF of 87052 and 87068?

We will first find the prime factorization of 87052 and 87068. After we will calculate the factors of 87052 and 87068 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 87068

Prime factors of 87068 are 2, 21767. Prime factorization of 87068 in exponential form is:

87068 = 2² × 21767¹

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 87068

List of positive integer factors of 87068 that divides 87052 without a remainder.

1, 2, 4, 21767, 43534

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87052 and 87068. The biggest common factor number is the GCF number.
So the greatest common factor 87052 and 87068 is 4.

Also check out the Least Common Multiple of 87052 and 87068