What is the Greatest Common Factor of 87548 and 87566?

Greatest common factor (GCF) of 87548 and 87566 is 2.

GCF(87548,87566) = 2

We will now calculate the prime factors of 87548 and 87566, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87548 and 87566.

How to find the GCF of 87548 and 87566?

We will first find the prime factorization of 87548 and 87566. After we will calculate the factors of 87548 and 87566 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 87566

Prime factors of 87566 are 2, 43783. Prime factorization of 87566 in exponential form is:

87566 = 2¹ × 43783¹

Step-3: Factors of 87548

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

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

Step-4: Factors of 87566

List of positive integer factors of 87566 that divides 87548 without a remainder.

1, 2, 43783

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87548 and 87566. The biggest common factor number is the GCF number.
So the greatest common factor 87548 and 87566 is 2.

Also check out the Least Common Multiple of 87548 and 87566