What is the Greatest Common Factor of 54750 and 54770?

Greatest common factor (GCF) of 54750 and 54770 is 10.

GCF(54750,54770) = 10

We will now calculate the prime factors of 54750 and 54770, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54750 and 54770.

How to find the GCF of 54750 and 54770?

We will first find the prime factorization of 54750 and 54770. After we will calculate the factors of 54750 and 54770 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 54770

Prime factors of 54770 are 2, 5, 5477. Prime factorization of 54770 in exponential form is:

54770 = 2¹ × 5¹ × 5477¹

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 54770

List of positive integer factors of 54770 that divides 54750 without a remainder.

1, 2, 5, 10, 5477, 10954, 27385

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54750 and 54770. The biggest common factor number is the GCF number.
So the greatest common factor 54750 and 54770 is 10.

Also check out the Least Common Multiple of 54750 and 54770