What is the Greatest Common Factor of 22742 and 22760?

Greatest common factor (GCF) of 22742 and 22760 is 2.

GCF(22742,22760) = 2

We will now calculate the prime factors of 22742 and 22760, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22742 and 22760.

How to find the GCF of 22742 and 22760?

We will first find the prime factorization of 22742 and 22760. After we will calculate the factors of 22742 and 22760 and find the biggest common factor number .

Step-1: Prime Factorization of 22742

Prime factors of 22742 are 2, 83, 137. Prime factorization of 22742 in exponential form is:

22742 = 2¹ × 83¹ × 137¹

Step-2: Prime Factorization of 22760

Prime factors of 22760 are 2, 5, 569. Prime factorization of 22760 in exponential form is:

22760 = 2³ × 5¹ × 569¹

Step-3: Factors of 22742

List of positive integer factors of 22742 that divides 22742 without a remainder.

1, 2, 83, 137, 166, 274, 11371

Step-4: Factors of 22760

List of positive integer factors of 22760 that divides 22742 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 569, 1138, 2276, 2845, 4552, 5690, 11380

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22742 and 22760. The biggest common factor number is the GCF number.
So the greatest common factor 22742 and 22760 is 2.

Also check out the Least Common Multiple of 22742 and 22760