What is the Greatest Common Factor of 56525 and 56538?

Greatest common factor (GCF) of 56525 and 56538 is 1.

GCF(56525,56538) = 1

We will now calculate the prime factors of 56525 and 56538, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56525 and 56538.

How to find the GCF of 56525 and 56538?

We will first find the prime factorization of 56525 and 56538. After we will calculate the factors of 56525 and 56538 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 56538

Prime factors of 56538 are 2, 3, 349. Prime factorization of 56538 in exponential form is:

56538 = 2¹ × 3⁴ × 349¹

Step-3: Factors of 56525

List of positive integer factors of 56525 that divides 56525 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

Step-4: Factors of 56538

List of positive integer factors of 56538 that divides 56525 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 349, 698, 1047, 2094, 3141, 6282, 9423, 18846, 28269

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56525 and 56538. The biggest common factor number is the GCF number.
So the greatest common factor 56525 and 56538 is 1.

Also check out the Least Common Multiple of 56525 and 56538