What is the Greatest Common Factor of 61025 and 61036?

Greatest common factor (GCF) of 61025 and 61036 is 1.

GCF(61025,61036) = 1

We will now calculate the prime factors of 61025 and 61036, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61025 and 61036.

How to find the GCF of 61025 and 61036?

We will first find the prime factorization of 61025 and 61036. After we will calculate the factors of 61025 and 61036 and find the biggest common factor number .

Step-1: Prime Factorization of 61025

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

61025 = 5² × 2441¹

Step-2: Prime Factorization of 61036

Prime factors of 61036 are 2, 15259. Prime factorization of 61036 in exponential form is:

61036 = 2² × 15259¹

Step-3: Factors of 61025

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

1, 5, 25, 2441, 12205

Step-4: Factors of 61036

List of positive integer factors of 61036 that divides 61025 without a remainder.

1, 2, 4, 15259, 30518

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61025 and 61036. The biggest common factor number is the GCF number.
So the greatest common factor 61025 and 61036 is 1.

Also check out the Least Common Multiple of 61025 and 61036