What is the Greatest Common Factor of 61025 and 61038?

Greatest common factor (GCF) of 61025 and 61038 is 1.

GCF(61025,61038) = 1

We will now calculate the prime factors of 61025 and 61038, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61025 and 61038.

How to find the GCF of 61025 and 61038?

We will first find the prime factorization of 61025 and 61038. After we will calculate the factors of 61025 and 61038 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 61038

Prime factors of 61038 are 2, 3, 3391. Prime factorization of 61038 in exponential form is:

61038 = 2¹ × 3² × 3391¹

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 61038

List of positive integer factors of 61038 that divides 61025 without a remainder.

1, 2, 3, 6, 9, 18, 3391, 6782, 10173, 20346, 30519

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61025 and 61038. The biggest common factor number is the GCF number.
So the greatest common factor 61025 and 61038 is 1.

Also check out the Least Common Multiple of 61025 and 61038