What is the Greatest Common Factor of 87038 and 87052?

Greatest common factor (GCF) of 87038 and 87052 is 14.

GCF(87038,87052) = 14

We will now calculate the prime factors of 87038 and 87052, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87038 and 87052.

How to find the GCF of 87038 and 87052?

We will first find the prime factorization of 87038 and 87052. After we will calculate the factors of 87038 and 87052 and find the biggest common factor number .

Step-1: Prime Factorization of 87038

Prime factors of 87038 are 2, 7, 6217. Prime factorization of 87038 in exponential form is:

87038 = 2¹ × 7¹ × 6217¹

Step-2: 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-3: Factors of 87038

List of positive integer factors of 87038 that divides 87038 without a remainder.

1, 2, 7, 14, 6217, 12434, 43519

Step-4: Factors of 87052

List of positive integer factors of 87052 that divides 87038 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87038 and 87052. The biggest common factor number is the GCF number.
So the greatest common factor 87038 and 87052 is 14.

Also check out the Least Common Multiple of 87038 and 87052