What is the Greatest Common Factor of 60448 and 60460?

Greatest common factor (GCF) of 60448 and 60460 is 4.

GCF(60448,60460) = 4

We will now calculate the prime factors of 60448 and 60460, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60448 and 60460.

How to find the GCF of 60448 and 60460?

We will first find the prime factorization of 60448 and 60460. After we will calculate the factors of 60448 and 60460 and find the biggest common factor number .

Step-1: Prime Factorization of 60448

Prime factors of 60448 are 2, 1889. Prime factorization of 60448 in exponential form is:

60448 = 2⁵ × 1889¹

Step-2: 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-3: Factors of 60448

List of positive integer factors of 60448 that divides 60448 without a remainder.

1, 2, 4, 8, 16, 32, 1889, 3778, 7556, 15112, 30224

Step-4: Factors of 60460

List of positive integer factors of 60460 that divides 60448 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60448 and 60460. The biggest common factor number is the GCF number.
So the greatest common factor 60448 and 60460 is 4.

Also check out the Least Common Multiple of 60448 and 60460