What is the Greatest Common Factor of 56465 and 56475?

Greatest common factor (GCF) of 56465 and 56475 is 5.

GCF(56465,56475) = 5

We will now calculate the prime factors of 56465 and 56475, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56465 and 56475.

How to find the GCF of 56465 and 56475?

We will first find the prime factorization of 56465 and 56475. After we will calculate the factors of 56465 and 56475 and find the biggest common factor number .

Step-1: Prime Factorization of 56465

Prime factors of 56465 are 5, 23, 491. Prime factorization of 56465 in exponential form is:

56465 = 5¹ × 23¹ × 491¹

Step-2: Prime Factorization of 56475

Prime factors of 56475 are 3, 5, 251. Prime factorization of 56475 in exponential form is:

56475 = 3² × 5² × 251¹

Step-3: Factors of 56465

List of positive integer factors of 56465 that divides 56465 without a remainder.

1, 5, 23, 115, 491, 2455, 11293

Step-4: Factors of 56475

List of positive integer factors of 56475 that divides 56465 without a remainder.

1, 3, 5, 9, 15, 25, 45, 75, 225, 251, 753, 1255, 2259, 3765, 6275, 11295, 18825

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56465 and 56475. The biggest common factor number is the GCF number.
So the greatest common factor 56465 and 56475 is 5.

Also check out the Least Common Multiple of 56465 and 56475