What is the Greatest Common Factor of 54750 and 54760?

Greatest common factor (GCF) of 54750 and 54760 is 10.

GCF(54750,54760) = 10

We will now calculate the prime factors of 54750 and 54760, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54750 and 54760.

How to find the GCF of 54750 and 54760?

We will first find the prime factorization of 54750 and 54760. After we will calculate the factors of 54750 and 54760 and find the biggest common factor number .

Step-1: Prime Factorization of 54750

Prime factors of 54750 are 2, 3, 5, 73. Prime factorization of 54750 in exponential form is:

54750 = 2¹ × 3¹ × 5³ × 73¹

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 54750

List of positive integer factors of 54750 that divides 54750 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 73, 75, 125, 146, 150, 219, 250, 365, 375, 438, 730, 750, 1095, 1825, 2190, 3650, 5475, 9125, 10950, 18250, 27375

Step-4: Factors of 54760

List of positive integer factors of 54760 that divides 54750 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 54750 and 54760. The biggest common factor number is the GCF number.
So the greatest common factor 54750 and 54760 is 10.

Also check out the Least Common Multiple of 54750 and 54760