What is the Greatest Common Factor of 60460 and 60478?

Greatest common factor (GCF) of 60460 and 60478 is 2.

GCF(60460,60478) = 2

We will now calculate the prime factors of 60460 and 60478, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60460 and 60478.

How to find the GCF of 60460 and 60478?

We will first find the prime factorization of 60460 and 60478. After we will calculate the factors of 60460 and 60478 and find the biggest common factor number .

Step-1: Prime Factorization of 60460

Prime factors of 60460 are 2, 5, 3023. Prime factorization of 60460 in exponential form is:

60460 = 2² × 5¹ × 3023¹

Step-2: Prime Factorization of 60478

Prime factors of 60478 are 2, 11, 2749. Prime factorization of 60478 in exponential form is:

60478 = 2¹ × 11¹ × 2749¹

Step-3: Factors of 60460

List of positive integer factors of 60460 that divides 60460 without a remainder.

1, 2, 4, 5, 10, 20, 3023, 6046, 12092, 15115, 30230

Step-4: Factors of 60478

List of positive integer factors of 60478 that divides 60460 without a remainder.

1, 2, 11, 22, 2749, 5498, 30239

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60460 and 60478. The biggest common factor number is the GCF number.
So the greatest common factor 60460 and 60478 is 2.

Also check out the Least Common Multiple of 60460 and 60478