What is the Greatest Common Factor of 60025 and 60029?

Greatest common factor (GCF) of 60025 and 60029 is 1.

GCF(60025,60029) = 1

We will now calculate the prime factors of 60025 and 60029, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60025 and 60029.

How to find the GCF of 60025 and 60029?

We will first find the prime factorization of 60025 and 60029. After we will calculate the factors of 60025 and 60029 and find the biggest common factor number .

Step-1: Prime Factorization of 60025

Prime factors of 60025 are 5, 7. Prime factorization of 60025 in exponential form is:

60025 = 5² × 7⁴

Step-2: Prime Factorization of 60029

Prime factors of 60029 are 60029. Prime factorization of 60029 in exponential form is:

60029 = 60029¹

Step-3: Factors of 60025

List of positive integer factors of 60025 that divides 60025 without a remainder.

1, 5, 7, 25, 35, 49, 175, 245, 343, 1225, 1715, 2401, 8575, 12005

Step-4: Factors of 60029

List of positive integer factors of 60029 that divides 60025 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60025 and 60029. The biggest common factor number is the GCF number.
So the greatest common factor 60025 and 60029 is 1.

Also check out the Least Common Multiple of 60025 and 60029