What is the Greatest Common Factor of 56506 and 56525?

Greatest common factor (GCF) of 56506 and 56525 is 19.

GCF(56506,56525) = 19

We will now calculate the prime factors of 56506 and 56525, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56506 and 56525.

How to find the GCF of 56506 and 56525?

We will first find the prime factorization of 56506 and 56525. After we will calculate the factors of 56506 and 56525 and find the biggest common factor number .

Step-1: Prime Factorization of 56506

Prime factors of 56506 are 2, 19, 1487. Prime factorization of 56506 in exponential form is:

56506 = 2¹ × 19¹ × 1487¹

Step-2: Prime Factorization of 56525

Prime factors of 56525 are 5, 7, 17, 19. Prime factorization of 56525 in exponential form is:

56525 = 5² × 7¹ × 17¹ × 19¹

Step-3: Factors of 56506

List of positive integer factors of 56506 that divides 56506 without a remainder.

1, 2, 19, 38, 1487, 2974, 28253

Step-4: Factors of 56525

List of positive integer factors of 56525 that divides 56506 without a remainder.

1, 5, 7, 17, 19, 25, 35, 85, 95, 119, 133, 175, 323, 425, 475, 595, 665, 1615, 2261, 2975, 3325, 8075, 11305

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56506 and 56525. The biggest common factor number is the GCF number.
So the greatest common factor 56506 and 56525 is 19.

Also check out the Least Common Multiple of 56506 and 56525