What is the Greatest Common Factor of 50528 and 50532?

Greatest common factor (GCF) of 50528 and 50532 is 4.

GCF(50528,50532) = 4

We will now calculate the prime factors of 50528 and 50532, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50528 and 50532.

How to find the GCF of 50528 and 50532?

We will first find the prime factorization of 50528 and 50532. After we will calculate the factors of 50528 and 50532 and find the biggest common factor number .

Step-1: Prime Factorization of 50528

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

50528 = 2⁵ × 1579¹

Step-2: Prime Factorization of 50532

Prime factors of 50532 are 2, 3, 4211. Prime factorization of 50532 in exponential form is:

50532 = 2² × 3¹ × 4211¹

Step-3: Factors of 50528

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

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

Step-4: Factors of 50532

List of positive integer factors of 50532 that divides 50528 without a remainder.

1, 2, 3, 4, 6, 12, 4211, 8422, 12633, 16844, 25266

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50528 and 50532. The biggest common factor number is the GCF number.
So the greatest common factor 50528 and 50532 is 4.

Also check out the Least Common Multiple of 50528 and 50532