What is the Greatest Common Factor of 60022 and 60032?

Greatest common factor (GCF) of 60022 and 60032 is 2.

GCF(60022,60032) = 2

We will now calculate the prime factors of 60022 and 60032, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60022 and 60032.

How to find the GCF of 60022 and 60032?

We will first find the prime factorization of 60022 and 60032. After we will calculate the factors of 60022 and 60032 and find the biggest common factor number .

Step-1: Prime Factorization of 60022

Prime factors of 60022 are 2, 30011. Prime factorization of 60022 in exponential form is:

60022 = 2¹ × 30011¹

Step-2: Prime Factorization of 60032

Prime factors of 60032 are 2, 7, 67. Prime factorization of 60032 in exponential form is:

60032 = 2⁷ × 7¹ × 67¹

Step-3: Factors of 60022

List of positive integer factors of 60022 that divides 60022 without a remainder.

1, 2, 30011

Step-4: Factors of 60032

List of positive integer factors of 60032 that divides 60022 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 67, 112, 128, 134, 224, 268, 448, 469, 536, 896, 938, 1072, 1876, 2144, 3752, 4288, 7504, 8576, 15008, 30016

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60022 and 60032. The biggest common factor number is the GCF number.
So the greatest common factor 60022 and 60032 is 2.

Also check out the Least Common Multiple of 60022 and 60032