What is the Greatest Common Factor of 49928 and 49936?

Greatest common factor (GCF) of 49928 and 49936 is 8.

GCF(49928,49936) = 8

We will now calculate the prime factors of 49928 and 49936, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49928 and 49936.

How to find the GCF of 49928 and 49936?

We will first find the prime factorization of 49928 and 49936. After we will calculate the factors of 49928 and 49936 and find the biggest common factor number .

Step-1: Prime Factorization of 49928

Prime factors of 49928 are 2, 79. Prime factorization of 49928 in exponential form is:

49928 = 2³ × 79²

Step-2: Prime Factorization of 49936

Prime factors of 49936 are 2, 3121. Prime factorization of 49936 in exponential form is:

49936 = 2⁴ × 3121¹

Step-3: Factors of 49928

List of positive integer factors of 49928 that divides 49928 without a remainder.

1, 2, 4, 8, 79, 158, 316, 632, 6241, 12482, 24964

Step-4: Factors of 49936

List of positive integer factors of 49936 that divides 49928 without a remainder.

1, 2, 4, 8, 16, 3121, 6242, 12484, 24968

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49928 and 49936. The biggest common factor number is the GCF number.
So the greatest common factor 49928 and 49936 is 8.

Also check out the Least Common Multiple of 49928 and 49936