What is the Greatest Common Factor of 56025 and 56045?

Greatest common factor (GCF) of 56025 and 56045 is 5.

GCF(56025,56045) = 5

We will now calculate the prime factors of 56025 and 56045, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56025 and 56045.

How to find the GCF of 56025 and 56045?

We will first find the prime factorization of 56025 and 56045. After we will calculate the factors of 56025 and 56045 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 56045

Prime factors of 56045 are 5, 11, 1019. Prime factorization of 56045 in exponential form is:

56045 = 5¹ × 11¹ × 1019¹

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 56045

List of positive integer factors of 56045 that divides 56025 without a remainder.

1, 5, 11, 55, 1019, 5095, 11209

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56025 and 56045. The biggest common factor number is the GCF number.
So the greatest common factor 56025 and 56045 is 5.

Also check out the Least Common Multiple of 56025 and 56045