What is the Greatest Common Factor of 61025 and 61031?

Greatest common factor (GCF) of 61025 and 61031 is 1.

GCF(61025,61031) = 1

We will now calculate the prime factors of 61025 and 61031, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61025 and 61031.

How to find the GCF of 61025 and 61031?

We will first find the prime factorization of 61025 and 61031. After we will calculate the factors of 61025 and 61031 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 61031

Prime factors of 61031 are 61031. Prime factorization of 61031 in exponential form is:

61031 = 61031¹

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 61031

List of positive integer factors of 61031 that divides 61025 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61025 and 61031. The biggest common factor number is the GCF number.
So the greatest common factor 61025 and 61031 is 1.

Also check out the Least Common Multiple of 61025 and 61031