What is the Greatest Common Factor of 60224 and 60232?

Greatest common factor (GCF) of 60224 and 60232 is 8.

GCF(60224,60232) = 8

We will now calculate the prime factors of 60224 and 60232, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60224 and 60232.

How to find the GCF of 60224 and 60232?

We will first find the prime factorization of 60224 and 60232. After we will calculate the factors of 60224 and 60232 and find the biggest common factor number .

Step-1: Prime Factorization of 60224

Prime factors of 60224 are 2, 941. Prime factorization of 60224 in exponential form is:

60224 = 2⁶ × 941¹

Step-2: Prime Factorization of 60232

Prime factors of 60232 are 2, 7529. Prime factorization of 60232 in exponential form is:

60232 = 2³ × 7529¹

Step-3: Factors of 60224

List of positive integer factors of 60224 that divides 60224 without a remainder.

1, 2, 4, 8, 16, 32, 64, 941, 1882, 3764, 7528, 15056, 30112

Step-4: Factors of 60232

List of positive integer factors of 60232 that divides 60224 without a remainder.

1, 2, 4, 8, 7529, 15058, 30116

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60224 and 60232. The biggest common factor number is the GCF number.
So the greatest common factor 60224 and 60232 is 8.

Also check out the Least Common Multiple of 60224 and 60232