What is the Greatest Common Factor of 60475 and 60492?

Greatest common factor (GCF) of 60475 and 60492 is 1.

GCF(60475,60492) = 1

We will now calculate the prime factors of 60475 and 60492, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60475 and 60492.

How to find the GCF of 60475 and 60492?

We will first find the prime factorization of 60475 and 60492. After we will calculate the factors of 60475 and 60492 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 60492

Prime factors of 60492 are 2, 3, 71. Prime factorization of 60492 in exponential form is:

60492 = 2² × 3¹ × 71²

Step-3: Factors of 60475

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

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

Step-4: Factors of 60492

List of positive integer factors of 60492 that divides 60475 without a remainder.

1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852, 5041, 10082, 15123, 20164, 30246

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60475 and 60492. The biggest common factor number is the GCF number.
So the greatest common factor 60475 and 60492 is 1.

Also check out the Least Common Multiple of 60475 and 60492