What is the Greatest Common Factor of 50880 and 50892?

Greatest common factor (GCF) of 50880 and 50892 is 12.

GCF(50880,50892) = 12

We will now calculate the prime factors of 50880 and 50892, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50880 and 50892.

How to find the GCF of 50880 and 50892?

We will first find the prime factorization of 50880 and 50892. After we will calculate the factors of 50880 and 50892 and find the biggest common factor number .

Step-1: Prime Factorization of 50880

Prime factors of 50880 are 2, 3, 5, 53. Prime factorization of 50880 in exponential form is:

50880 = 2⁶ × 3¹ × 5¹ × 53¹

Step-2: 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-3: Factors of 50880

List of positive integer factors of 50880 that divides 50880 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 53, 60, 64, 80, 96, 106, 120, 159, 160, 192, 212, 240, 265, 318, 320, 424, 480, 530, 636, 795, 848, 960, 1060, 1272, 1590, 1696, 2120, 2544, 3180, 3392, 4240, 5088, 6360, 8480, 10176, 12720, 16960, 25440

Step-4: Factors of 50892

List of positive integer factors of 50892 that divides 50880 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50880 and 50892. The biggest common factor number is the GCF number.
So the greatest common factor 50880 and 50892 is 12.

Also check out the Least Common Multiple of 50880 and 50892