What is the Greatest Common Factor of 60458 and 60477?

Greatest common factor (GCF) of 60458 and 60477 is 19.

GCF(60458,60477) = 19

We will now calculate the prime factors of 60458 and 60477, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60458 and 60477.

How to find the GCF of 60458 and 60477?

We will first find the prime factorization of 60458 and 60477. After we will calculate the factors of 60458 and 60477 and find the biggest common factor number .

Step-1: Prime Factorization of 60458

Prime factors of 60458 are 2, 19, 37, 43. Prime factorization of 60458 in exponential form is:

60458 = 2¹ × 19¹ × 37¹ × 43¹

Step-2: Prime Factorization of 60477

Prime factors of 60477 are 3, 19, 1061. Prime factorization of 60477 in exponential form is:

60477 = 3¹ × 19¹ × 1061¹

Step-3: Factors of 60458

List of positive integer factors of 60458 that divides 60458 without a remainder.

1, 2, 19, 37, 38, 43, 74, 86, 703, 817, 1406, 1591, 1634, 3182, 30229

Step-4: Factors of 60477

List of positive integer factors of 60477 that divides 60458 without a remainder.

1, 3, 19, 57, 1061, 3183, 20159

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60458 and 60477. The biggest common factor number is the GCF number.
So the greatest common factor 60458 and 60477 is 19.

Also check out the Least Common Multiple of 60458 and 60477