What is the Greatest Common Factor of 60461 and 60475?

Greatest common factor (GCF) of 60461 and 60475 is 1.

GCF(60461,60475) = 1

We will now calculate the prime factors of 60461 and 60475, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60461 and 60475.

How to find the GCF of 60461 and 60475?

We will first find the prime factorization of 60461 and 60475. After we will calculate the factors of 60461 and 60475 and find the biggest common factor number .

Step-1: Prime Factorization of 60461

Prime factors of 60461 are 103, 587. Prime factorization of 60461 in exponential form is:

60461 = 103¹ × 587¹

Step-2: Prime Factorization of 60475

Prime factors of 60475 are 5, 41, 59. Prime factorization of 60475 in exponential form is:

60475 = 5² × 41¹ × 59¹

Step-3: Factors of 60461

List of positive integer factors of 60461 that divides 60461 without a remainder.

1, 103, 587

Step-4: Factors of 60475

List of positive integer factors of 60475 that divides 60461 without a remainder.

1, 5, 25, 41, 59, 205, 295, 1025, 1475, 2419, 12095

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60461 and 60475. The biggest common factor number is the GCF number.
So the greatest common factor 60461 and 60475 is 1.

Also check out the Least Common Multiple of 60461 and 60475