What is the Greatest Common Factor of 56025 and 56033?

Greatest common factor (GCF) of 56025 and 56033 is 1.

GCF(56025,56033) = 1

We will now calculate the prime factors of 56025 and 56033, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56025 and 56033.

How to find the GCF of 56025 and 56033?

We will first find the prime factorization of 56025 and 56033. After we will calculate the factors of 56025 and 56033 and find the biggest common factor number .

Step-1: Prime Factorization of 56025

Prime factors of 56025 are 3, 5, 83. Prime factorization of 56025 in exponential form is:

56025 = 3³ × 5² × 83¹

Step-2: Prime Factorization of 56033

Prime factors of 56033 are 137, 409. Prime factorization of 56033 in exponential form is:

56033 = 137¹ × 409¹

Step-3: Factors of 56025

List of positive integer factors of 56025 that divides 56025 without a remainder.

1, 3, 5, 9, 15, 25, 27, 45, 75, 83, 135, 225, 249, 415, 675, 747, 1245, 2075, 2241, 3735, 6225, 11205, 18675

Step-4: Factors of 56033

List of positive integer factors of 56033 that divides 56025 without a remainder.

1, 137, 409

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56025 and 56033. The biggest common factor number is the GCF number.
So the greatest common factor 56025 and 56033 is 1.

Also check out the Least Common Multiple of 56025 and 56033