What is the Greatest Common Factor of 50700 and 50712?

Greatest common factor (GCF) of 50700 and 50712 is 12.

GCF(50700,50712) = 12

We will now calculate the prime factors of 50700 and 50712, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50700 and 50712.

How to find the GCF of 50700 and 50712?

We will first find the prime factorization of 50700 and 50712. After we will calculate the factors of 50700 and 50712 and find the biggest common factor number .

Step-1: Prime Factorization of 50700

Prime factors of 50700 are 2, 3, 5, 13. Prime factorization of 50700 in exponential form is:

50700 = 2² × 3¹ × 5² × 13²

Step-2: Prime Factorization of 50712

Prime factors of 50712 are 2, 3, 2113. Prime factorization of 50712 in exponential form is:

50712 = 2³ × 3¹ × 2113¹

Step-3: Factors of 50700

List of positive integer factors of 50700 that divides 50700 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 25, 26, 30, 39, 50, 52, 60, 65, 75, 78, 100, 130, 150, 156, 169, 195, 260, 300, 325, 338, 390, 507, 650, 676, 780, 845, 975, 1014, 1300, 1690, 1950, 2028, 2535, 3380, 3900, 4225, 5070, 8450, 10140, 12675, 16900, 25350

Step-4: Factors of 50712

List of positive integer factors of 50712 that divides 50700 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 2113, 4226, 6339, 8452, 12678, 16904, 25356

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50700 and 50712. The biggest common factor number is the GCF number.
So the greatest common factor 50700 and 50712 is 12.

Also check out the Least Common Multiple of 50700 and 50712