What is the Greatest Common Factor of 56950 and 56965?

Greatest common factor (GCF) of 56950 and 56965 is 5.

GCF(56950,56965) = 5

We will now calculate the prime factors of 56950 and 56965, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56950 and 56965.

How to find the GCF of 56950 and 56965?

We will first find the prime factorization of 56950 and 56965. After we will calculate the factors of 56950 and 56965 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 56965

Prime factors of 56965 are 5, 11393. Prime factorization of 56965 in exponential form is:

56965 = 5¹ × 11393¹

Step-3: Factors of 56950

List of positive integer factors of 56950 that divides 56950 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

Step-4: Factors of 56965

List of positive integer factors of 56965 that divides 56950 without a remainder.

1, 5, 11393

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56950 and 56965. The biggest common factor number is the GCF number.
So the greatest common factor 56950 and 56965 is 5.

Also check out the Least Common Multiple of 56950 and 56965