What is the Greatest Common Factor of 88952 and 88958?

Greatest common factor (GCF) of 88952 and 88958 is 2.

GCF(88952,88958) = 2

We will now calculate the prime factors of 88952 and 88958, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88952 and 88958.

How to find the GCF of 88952 and 88958?

We will first find the prime factorization of 88952 and 88958. After we will calculate the factors of 88952 and 88958 and find the biggest common factor number .

Step-1: Prime Factorization of 88952

Prime factors of 88952 are 2, 11119. Prime factorization of 88952 in exponential form is:

88952 = 2³ × 11119¹

Step-2: Prime Factorization of 88958

Prime factors of 88958 are 2, 19, 2341. Prime factorization of 88958 in exponential form is:

88958 = 2¹ × 19¹ × 2341¹

Step-3: Factors of 88952

List of positive integer factors of 88952 that divides 88952 without a remainder.

1, 2, 4, 8, 11119, 22238, 44476

Step-4: Factors of 88958

List of positive integer factors of 88958 that divides 88952 without a remainder.

1, 2, 19, 38, 2341, 4682, 44479

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88952 and 88958. The biggest common factor number is the GCF number.
So the greatest common factor 88952 and 88958 is 2.

Also check out the Least Common Multiple of 88952 and 88958