What is the Greatest Common Factor of 50892 and 50900?

Greatest common factor (GCF) of 50892 and 50900 is 4.

GCF(50892,50900) = 4

We will now calculate the prime factors of 50892 and 50900, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50892 and 50900.

How to find the GCF of 50892 and 50900?

We will first find the prime factorization of 50892 and 50900. After we will calculate the factors of 50892 and 50900 and find the biggest common factor number .

Step-1: Prime Factorization of 50892

Prime factors of 50892 are 2, 3, 4241. Prime factorization of 50892 in exponential form is:

50892 = 2² × 3¹ × 4241¹

Step-2: Prime Factorization of 50900

Prime factors of 50900 are 2, 5, 509. Prime factorization of 50900 in exponential form is:

50900 = 2² × 5² × 509¹

Step-3: Factors of 50892

List of positive integer factors of 50892 that divides 50892 without a remainder.

1, 2, 3, 4, 6, 12, 4241, 8482, 12723, 16964, 25446

Step-4: Factors of 50900

List of positive integer factors of 50900 that divides 50892 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 509, 1018, 2036, 2545, 5090, 10180, 12725, 25450

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50892 and 50900. The biggest common factor number is the GCF number.
So the greatest common factor 50892 and 50900 is 4.

Also check out the Least Common Multiple of 50892 and 50900