What is the Greatest Common Factor of 50900 and 50920?

Greatest common factor (GCF) of 50900 and 50920 is 20.

GCF(50900,50920) = 20

We will now calculate the prime factors of 50900 and 50920, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50900 and 50920.

How to find the GCF of 50900 and 50920?

We will first find the prime factorization of 50900 and 50920. After we will calculate the factors of 50900 and 50920 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 50920

Prime factors of 50920 are 2, 5, 19, 67. Prime factorization of 50920 in exponential form is:

50920 = 2³ × 5¹ × 19¹ × 67¹

Step-3: Factors of 50900

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

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

Step-4: Factors of 50920

List of positive integer factors of 50920 that divides 50900 without a remainder.

1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 67, 76, 95, 134, 152, 190, 268, 335, 380, 536, 670, 760, 1273, 1340, 2546, 2680, 5092, 6365, 10184, 12730, 25460

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50900 and 50920. The biggest common factor number is the GCF number.
So the greatest common factor 50900 and 50920 is 20.

Also check out the Least Common Multiple of 50900 and 50920