What is the Greatest Common Factor of 89968 and 89974?

Greatest common factor (GCF) of 89968 and 89974 is 2.

GCF(89968,89974) = 2

We will now calculate the prime factors of 89968 and 89974, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89968 and 89974.

How to find the GCF of 89968 and 89974?

We will first find the prime factorization of 89968 and 89974. After we will calculate the factors of 89968 and 89974 and find the biggest common factor number .

Step-1: Prime Factorization of 89968

Prime factors of 89968 are 2, 5623. Prime factorization of 89968 in exponential form is:

89968 = 2⁴ × 5623¹

Step-2: Prime Factorization of 89974

Prime factors of 89974 are 2, 44987. Prime factorization of 89974 in exponential form is:

89974 = 2¹ × 44987¹

Step-3: Factors of 89968

List of positive integer factors of 89968 that divides 89968 without a remainder.

1, 2, 4, 8, 16, 5623, 11246, 22492, 44984

Step-4: Factors of 89974

List of positive integer factors of 89974 that divides 89968 without a remainder.

1, 2, 44987

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89968 and 89974. The biggest common factor number is the GCF number.
So the greatest common factor 89968 and 89974 is 2.

Also check out the Least Common Multiple of 89968 and 89974