What is the Greatest Common Factor of 56525 and 56542?

Greatest common factor (GCF) of 56525 and 56542 is 17.

GCF(56525,56542) = 17

We will now calculate the prime factors of 56525 and 56542, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56525 and 56542.

How to find the GCF of 56525 and 56542?

We will first find the prime factorization of 56525 and 56542. After we will calculate the factors of 56525 and 56542 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 56542

Prime factors of 56542 are 2, 17, 1663. Prime factorization of 56542 in exponential form is:

56542 = 2¹ × 17¹ × 1663¹

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 56542

List of positive integer factors of 56542 that divides 56525 without a remainder.

1, 2, 17, 34, 1663, 3326, 28271

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56525 and 56542. The biggest common factor number is the GCF number.
So the greatest common factor 56525 and 56542 is 17.

Also check out the Least Common Multiple of 56525 and 56542