What is the Greatest Common Factor of 87952 and 87970?

Greatest common factor (GCF) of 87952 and 87970 is 2.

GCF(87952,87970) = 2

We will now calculate the prime factors of 87952 and 87970, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87952 and 87970.

How to find the GCF of 87952 and 87970?

We will first find the prime factorization of 87952 and 87970. After we will calculate the factors of 87952 and 87970 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 87970

Prime factors of 87970 are 2, 5, 19, 463. Prime factorization of 87970 in exponential form is:

87970 = 2¹ × 5¹ × 19¹ × 463¹

Step-3: Factors of 87952

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

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

Step-4: Factors of 87970

List of positive integer factors of 87970 that divides 87952 without a remainder.

1, 2, 5, 10, 19, 38, 95, 190, 463, 926, 2315, 4630, 8797, 17594, 43985

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87952 and 87970. The biggest common factor number is the GCF number.
So the greatest common factor 87952 and 87970 is 2.

Also check out the Least Common Multiple of 87952 and 87970