What is the Greatest Common Factor of 61020 and 61025?

Greatest common factor (GCF) of 61020 and 61025 is 5.

GCF(61020,61025) = 5

We will now calculate the prime factors of 61020 and 61025, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61020 and 61025.

How to find the GCF of 61020 and 61025?

We will first find the prime factorization of 61020 and 61025. After we will calculate the factors of 61020 and 61025 and find the biggest common factor number .

Step-1: Prime Factorization of 61020

Prime factors of 61020 are 2, 3, 5, 113. Prime factorization of 61020 in exponential form is:

61020 = 2² × 3³ × 5¹ × 113¹

Step-2: Prime Factorization of 61025

Prime factors of 61025 are 5, 2441. Prime factorization of 61025 in exponential form is:

61025 = 5² × 2441¹

Step-3: Factors of 61020

List of positive integer factors of 61020 that divides 61020 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 113, 135, 180, 226, 270, 339, 452, 540, 565, 678, 1017, 1130, 1356, 1695, 2034, 2260, 3051, 3390, 4068, 5085, 6102, 6780, 10170, 12204, 15255, 20340, 30510

Step-4: Factors of 61025

List of positive integer factors of 61025 that divides 61020 without a remainder.

1, 5, 25, 2441, 12205

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61020 and 61025. The biggest common factor number is the GCF number.
So the greatest common factor 61020 and 61025 is 5.

Also check out the Least Common Multiple of 61020 and 61025