What is the Greatest Common Factor of 50524 and 50528?

Greatest common factor (GCF) of 50524 and 50528 is 4.

GCF(50524,50528) = 4

We will now calculate the prime factors of 50524 and 50528, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50524 and 50528.

How to find the GCF of 50524 and 50528?

We will first find the prime factorization of 50524 and 50528. After we will calculate the factors of 50524 and 50528 and find the biggest common factor number .

Step-1: Prime Factorization of 50524

Prime factors of 50524 are 2, 17, 743. Prime factorization of 50524 in exponential form is:

50524 = 2² × 17¹ × 743¹

Step-2: Prime Factorization of 50528

Prime factors of 50528 are 2, 1579. Prime factorization of 50528 in exponential form is:

50528 = 2⁵ × 1579¹

Step-3: Factors of 50524

List of positive integer factors of 50524 that divides 50524 without a remainder.

1, 2, 4, 17, 34, 68, 743, 1486, 2972, 12631, 25262

Step-4: Factors of 50528

List of positive integer factors of 50528 that divides 50524 without a remainder.

1, 2, 4, 8, 16, 32, 1579, 3158, 6316, 12632, 25264

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50524 and 50528. The biggest common factor number is the GCF number.
So the greatest common factor 50524 and 50528 is 4.

Also check out the Least Common Multiple of 50524 and 50528