What is the Greatest Common Factor of 45128 and 45142?

Greatest common factor (GCF) of 45128 and 45142 is 2.

GCF(45128,45142) = 2

We will now calculate the prime factors of 45128 and 45142, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45128 and 45142.

How to find the GCF of 45128 and 45142?

We will first find the prime factorization of 45128 and 45142. After we will calculate the factors of 45128 and 45142 and find the biggest common factor number .

Step-1: Prime Factorization of 45128

Prime factors of 45128 are 2, 5641. Prime factorization of 45128 in exponential form is:

45128 = 2³ × 5641¹

Step-2: Prime Factorization of 45142

Prime factors of 45142 are 2, 22571. Prime factorization of 45142 in exponential form is:

45142 = 2¹ × 22571¹

Step-3: Factors of 45128

List of positive integer factors of 45128 that divides 45128 without a remainder.

1, 2, 4, 8, 5641, 11282, 22564

Step-4: Factors of 45142

List of positive integer factors of 45142 that divides 45128 without a remainder.

1, 2, 22571

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45128 and 45142. The biggest common factor number is the GCF number.
So the greatest common factor 45128 and 45142 is 2.

Also check out the Least Common Multiple of 45128 and 45142