What is the Greatest Common Factor of 54690 and 54700?

Greatest common factor (GCF) of 54690 and 54700 is 10.

GCF(54690,54700) = 10

We will now calculate the prime factors of 54690 and 54700, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54690 and 54700.

How to find the GCF of 54690 and 54700?

We will first find the prime factorization of 54690 and 54700. After we will calculate the factors of 54690 and 54700 and find the biggest common factor number .

Step-1: Prime Factorization of 54690

Prime factors of 54690 are 2, 3, 5, 1823. Prime factorization of 54690 in exponential form is:

54690 = 2¹ × 3¹ × 5¹ × 1823¹

Step-2: Prime Factorization of 54700

Prime factors of 54700 are 2, 5, 547. Prime factorization of 54700 in exponential form is:

54700 = 2² × 5² × 547¹

Step-3: Factors of 54690

List of positive integer factors of 54690 that divides 54690 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 1823, 3646, 5469, 9115, 10938, 18230, 27345

Step-4: Factors of 54700

List of positive integer factors of 54700 that divides 54690 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 547, 1094, 2188, 2735, 5470, 10940, 13675, 27350

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54690 and 54700. The biggest common factor number is the GCF number.
So the greatest common factor 54690 and 54700 is 10.

Also check out the Least Common Multiple of 54690 and 54700