What is the Greatest Common Factor of 54770 and 54785?

Greatest common factor (GCF) of 54770 and 54785 is 5.

GCF(54770,54785) = 5

We will now calculate the prime factors of 54770 and 54785, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54770 and 54785.

How to find the GCF of 54770 and 54785?

We will first find the prime factorization of 54770 and 54785. After we will calculate the factors of 54770 and 54785 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 54785

Prime factors of 54785 are 5, 10957. Prime factorization of 54785 in exponential form is:

54785 = 5¹ × 10957¹

Step-3: Factors of 54770

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

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

Step-4: Factors of 54785

List of positive integer factors of 54785 that divides 54770 without a remainder.

1, 5, 10957

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54770 and 54785. The biggest common factor number is the GCF number.
So the greatest common factor 54770 and 54785 is 5.

Also check out the Least Common Multiple of 54770 and 54785