What is the Greatest Common Factor of 56940 and 56950?

Greatest common factor (GCF) of 56940 and 56950 is 10.

GCF(56940,56950) = 10

We will now calculate the prime factors of 56940 and 56950, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56940 and 56950.

How to find the GCF of 56940 and 56950?

We will first find the prime factorization of 56940 and 56950. After we will calculate the factors of 56940 and 56950 and find the biggest common factor number .

Step-1: Prime Factorization of 56940

Prime factors of 56940 are 2, 3, 5, 13, 73. Prime factorization of 56940 in exponential form is:

56940 = 2² × 3¹ × 5¹ × 13¹ × 73¹

Step-2: Prime Factorization of 56950

Prime factors of 56950 are 2, 5, 17, 67. Prime factorization of 56950 in exponential form is:

56950 = 2¹ × 5² × 17¹ × 67¹

Step-3: Factors of 56940

List of positive integer factors of 56940 that divides 56940 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 73, 78, 130, 146, 156, 195, 219, 260, 292, 365, 390, 438, 730, 780, 876, 949, 1095, 1460, 1898, 2190, 2847, 3796, 4380, 4745, 5694, 9490, 11388, 14235, 18980, 28470

Step-4: Factors of 56950

List of positive integer factors of 56950 that divides 56940 without a remainder.

1, 2, 5, 10, 17, 25, 34, 50, 67, 85, 134, 170, 335, 425, 670, 850, 1139, 1675, 2278, 3350, 5695, 11390, 28475

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56940 and 56950. The biggest common factor number is the GCF number.
So the greatest common factor 56940 and 56950 is 10.

Also check out the Least Common Multiple of 56940 and 56950