What is the Greatest Common Factor of 50924 and 50928?

Greatest common factor (GCF) of 50924 and 50928 is 4.

GCF(50924,50928) = 4

We will now calculate the prime factors of 50924 and 50928, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50924 and 50928.

How to find the GCF of 50924 and 50928?

We will first find the prime factorization of 50924 and 50928. After we will calculate the factors of 50924 and 50928 and find the biggest common factor number .

Step-1: Prime Factorization of 50924

Prime factors of 50924 are 2, 29, 439. Prime factorization of 50924 in exponential form is:

50924 = 2² × 29¹ × 439¹

Step-2: Prime Factorization of 50928

Prime factors of 50928 are 2, 3, 1061. Prime factorization of 50928 in exponential form is:

50928 = 2⁴ × 3¹ × 1061¹

Step-3: Factors of 50924

List of positive integer factors of 50924 that divides 50924 without a remainder.

1, 2, 4, 29, 58, 116, 439, 878, 1756, 12731, 25462

Step-4: Factors of 50928

List of positive integer factors of 50928 that divides 50924 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 1061, 2122, 3183, 4244, 6366, 8488, 12732, 16976, 25464

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50924 and 50928. The biggest common factor number is the GCF number.
So the greatest common factor 50924 and 50928 is 4.

Also check out the Least Common Multiple of 50924 and 50928