What is the Greatest Common Factor of 89924 and 89944?

Greatest common factor (GCF) of 89924 and 89944 is 4.

GCF(89924,89944) = 4

We will now calculate the prime factors of 89924 and 89944, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89924 and 89944.

How to find the GCF of 89924 and 89944?

We will first find the prime factorization of 89924 and 89944. After we will calculate the factors of 89924 and 89944 and find the biggest common factor number .

Step-1: Prime Factorization of 89924

Prime factors of 89924 are 2, 22481. Prime factorization of 89924 in exponential form is:

89924 = 2² × 22481¹

Step-2: Prime Factorization of 89944

Prime factors of 89944 are 2, 11243. Prime factorization of 89944 in exponential form is:

89944 = 2³ × 11243¹

Step-3: Factors of 89924

List of positive integer factors of 89924 that divides 89924 without a remainder.

1, 2, 4, 22481, 44962

Step-4: Factors of 89944

List of positive integer factors of 89944 that divides 89924 without a remainder.

1, 2, 4, 8, 11243, 22486, 44972

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89924 and 89944. The biggest common factor number is the GCF number.
So the greatest common factor 89924 and 89944 is 4.

Also check out the Least Common Multiple of 89924 and 89944