What is the Greatest Common Factor of 56005 and 56025?

Greatest common factor (GCF) of 56005 and 56025 is 5.

GCF(56005,56025) = 5

We will now calculate the prime factors of 56005 and 56025, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56005 and 56025.

How to find the GCF of 56005 and 56025?

We will first find the prime factorization of 56005 and 56025. After we will calculate the factors of 56005 and 56025 and find the biggest common factor number .

Step-1: Prime Factorization of 56005

Prime factors of 56005 are 5, 23, 487. Prime factorization of 56005 in exponential form is:

56005 = 5¹ × 23¹ × 487¹

Step-2: 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-3: Factors of 56005

List of positive integer factors of 56005 that divides 56005 without a remainder.

1, 5, 23, 115, 487, 2435, 11201

Step-4: Factors of 56025

List of positive integer factors of 56025 that divides 56005 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56005 and 56025. The biggest common factor number is the GCF number.
So the greatest common factor 56005 and 56025 is 5.

Also check out the Least Common Multiple of 56005 and 56025