What is the Greatest Common Factor of 60460 and 60470?

Greatest common factor (GCF) of 60460 and 60470 is 10.

GCF(60460,60470) = 10

We will now calculate the prime factors of 60460 and 60470, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60460 and 60470.

How to find the GCF of 60460 and 60470?

We will first find the prime factorization of 60460 and 60470. After we will calculate the factors of 60460 and 60470 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 60470

Prime factors of 60470 are 2, 5, 6047. Prime factorization of 60470 in exponential form is:

60470 = 2¹ × 5¹ × 6047¹

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 60470

List of positive integer factors of 60470 that divides 60460 without a remainder.

1, 2, 5, 10, 6047, 12094, 30235

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60460 and 60470. The biggest common factor number is the GCF number.
So the greatest common factor 60460 and 60470 is 10.

Also check out the Least Common Multiple of 60460 and 60470