What is the Greatest Common Factor of 87538 and 87548?

Greatest common factor (GCF) of 87538 and 87548 is 2.

GCF(87538,87548) = 2

We will now calculate the prime factors of 87538 and 87548, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87538 and 87548.

How to find the GCF of 87538 and 87548?

We will first find the prime factorization of 87538 and 87548. After we will calculate the factors of 87538 and 87548 and find the biggest common factor number .

Step-1: Prime Factorization of 87538

Prime factors of 87538 are 2, 11, 23, 173. Prime factorization of 87538 in exponential form is:

87538 = 2¹ × 11¹ × 23¹ × 173¹

Step-2: Prime Factorization of 87548

Prime factors of 87548 are 2, 43, 509. Prime factorization of 87548 in exponential form is:

87548 = 2² × 43¹ × 509¹

Step-3: Factors of 87538

List of positive integer factors of 87538 that divides 87538 without a remainder.

1, 2, 11, 22, 23, 46, 173, 253, 346, 506, 1903, 3806, 3979, 7958, 43769

Step-4: Factors of 87548

List of positive integer factors of 87548 that divides 87538 without a remainder.

1, 2, 4, 43, 86, 172, 509, 1018, 2036, 21887, 43774

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87538 and 87548. The biggest common factor number is the GCF number.
So the greatest common factor 87538 and 87548 is 2.

Also check out the Least Common Multiple of 87538 and 87548