What is the Greatest Common Factor of 60006 and 60025?

Greatest common factor (GCF) of 60006 and 60025 is 1.

GCF(60006,60025) = 1

We will now calculate the prime factors of 60006 and 60025, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60006 and 60025.

How to find the GCF of 60006 and 60025?

We will first find the prime factorization of 60006 and 60025. After we will calculate the factors of 60006 and 60025 and find the biggest common factor number .

Step-1: Prime Factorization of 60006

Prime factors of 60006 are 2, 3, 73, 137. Prime factorization of 60006 in exponential form is:

60006 = 2¹ × 3¹ × 73¹ × 137¹

Step-2: Prime Factorization of 60025

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

60025 = 5² × 7⁴

Step-3: Factors of 60006

List of positive integer factors of 60006 that divides 60006 without a remainder.

1, 2, 3, 6, 73, 137, 146, 219, 274, 411, 438, 822, 10001, 20002, 30003

Step-4: Factors of 60025

List of positive integer factors of 60025 that divides 60006 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60006 and 60025. The biggest common factor number is the GCF number.
So the greatest common factor 60006 and 60025 is 1.

Also check out the Least Common Multiple of 60006 and 60025