What is the Greatest Common Factor of 87946 and 87952?

Greatest common factor (GCF) of 87946 and 87952 is 2.

GCF(87946,87952) = 2

We will now calculate the prime factors of 87946 and 87952, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87946 and 87952.

How to find the GCF of 87946 and 87952?

We will first find the prime factorization of 87946 and 87952. After we will calculate the factors of 87946 and 87952 and find the biggest common factor number .

Step-1: Prime Factorization of 87946

Prime factors of 87946 are 2, 43973. Prime factorization of 87946 in exponential form is:

87946 = 2¹ × 43973¹

Step-2: Prime Factorization of 87952

Prime factors of 87952 are 2, 23, 239. Prime factorization of 87952 in exponential form is:

87952 = 2⁴ × 23¹ × 239¹

Step-3: Factors of 87946

List of positive integer factors of 87946 that divides 87946 without a remainder.

1, 2, 43973

Step-4: Factors of 87952

List of positive integer factors of 87952 that divides 87946 without a remainder.

1, 2, 4, 8, 16, 23, 46, 92, 184, 239, 368, 478, 956, 1912, 3824, 5497, 10994, 21988, 43976

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87946 and 87952. The biggest common factor number is the GCF number.
So the greatest common factor 87946 and 87952 is 2.

Also check out the Least Common Multiple of 87946 and 87952