What is the Greatest Common Factor of 56019 and 56025?

Greatest common factor (GCF) of 56019 and 56025 is 3.

GCF(56019,56025) = 3

We will now calculate the prime factors of 56019 and 56025, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56019 and 56025.

How to find the GCF of 56019 and 56025?

We will first find the prime factorization of 56019 and 56025. After we will calculate the factors of 56019 and 56025 and find the biggest common factor number .

Step-1: Prime Factorization of 56019

Prime factors of 56019 are 3, 71, 263. Prime factorization of 56019 in exponential form is:

56019 = 3¹ × 71¹ × 263¹

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 56019

List of positive integer factors of 56019 that divides 56019 without a remainder.

1, 3, 71, 213, 263, 789, 18673

Step-4: Factors of 56025

List of positive integer factors of 56025 that divides 56019 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 56019 and 56025. The biggest common factor number is the GCF number.
So the greatest common factor 56019 and 56025 is 3.

Also check out the Least Common Multiple of 56019 and 56025