What is the Greatest Common Factor of 54742 and 54760?

Greatest common factor (GCF) of 54742 and 54760 is 2.

GCF(54742,54760) = 2

We will now calculate the prime factors of 54742 and 54760, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54742 and 54760.

How to find the GCF of 54742 and 54760?

We will first find the prime factorization of 54742 and 54760. After we will calculate the factors of 54742 and 54760 and find the biggest common factor number .

Step-1: Prime Factorization of 54742

Prime factors of 54742 are 2, 101, 271. Prime factorization of 54742 in exponential form is:

54742 = 2¹ × 101¹ × 271¹

Step-2: Prime Factorization of 54760

Prime factors of 54760 are 2, 5, 37. Prime factorization of 54760 in exponential form is:

54760 = 2³ × 5¹ × 37²

Step-3: Factors of 54742

List of positive integer factors of 54742 that divides 54742 without a remainder.

1, 2, 101, 202, 271, 542, 27371

Step-4: Factors of 54760

List of positive integer factors of 54760 that divides 54742 without a remainder.

1, 2, 4, 5, 8, 10, 20, 37, 40, 74, 148, 185, 296, 370, 740, 1369, 1480, 2738, 5476, 6845, 10952, 13690, 27380

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54742 and 54760. The biggest common factor number is the GCF number.
So the greatest common factor 54742 and 54760 is 2.

Also check out the Least Common Multiple of 54742 and 54760