What is the Greatest Common Factor of 60428 and 60448?

Greatest common factor (GCF) of 60428 and 60448 is 4.

GCF(60428,60448) = 4

We will now calculate the prime factors of 60428 and 60448, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60428 and 60448.

How to find the GCF of 60428 and 60448?

We will first find the prime factorization of 60428 and 60448. After we will calculate the factors of 60428 and 60448 and find the biggest common factor number .

Step-1: Prime Factorization of 60428

Prime factors of 60428 are 2, 15107. Prime factorization of 60428 in exponential form is:

60428 = 2² × 15107¹

Step-2: Prime Factorization of 60448

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

60448 = 2⁵ × 1889¹

Step-3: Factors of 60428

List of positive integer factors of 60428 that divides 60428 without a remainder.

1, 2, 4, 15107, 30214

Step-4: Factors of 60448

List of positive integer factors of 60448 that divides 60428 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60428 and 60448. The biggest common factor number is the GCF number.
So the greatest common factor 60428 and 60448 is 4.

Also check out the Least Common Multiple of 60428 and 60448