What is the Greatest Common Factor of 54680 and 54685?

Greatest common factor (GCF) of 54680 and 54685 is 5.

GCF(54680,54685) = 5

We will now calculate the prime factors of 54680 and 54685, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54680 and 54685.

How to find the GCF of 54680 and 54685?

We will first find the prime factorization of 54680 and 54685. After we will calculate the factors of 54680 and 54685 and find the biggest common factor number .

Step-1: Prime Factorization of 54680

Prime factors of 54680 are 2, 5, 1367. Prime factorization of 54680 in exponential form is:

54680 = 2³ × 5¹ × 1367¹

Step-2: Prime Factorization of 54685

Prime factors of 54685 are 5, 10937. Prime factorization of 54685 in exponential form is:

54685 = 5¹ × 10937¹

Step-3: Factors of 54680

List of positive integer factors of 54680 that divides 54680 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 1367, 2734, 5468, 6835, 10936, 13670, 27340

Step-4: Factors of 54685

List of positive integer factors of 54685 that divides 54680 without a remainder.

1, 5, 10937

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54680 and 54685. The biggest common factor number is the GCF number.
So the greatest common factor 54680 and 54685 is 5.

Also check out the Least Common Multiple of 54680 and 54685