What is the Greatest Common Factor of 54620 and 54640?

Greatest common factor (GCF) of 54620 and 54640 is 20.

GCF(54620,54640) = 20

We will now calculate the prime factors of 54620 and 54640, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54620 and 54640.

How to find the GCF of 54620 and 54640?

We will first find the prime factorization of 54620 and 54640. After we will calculate the factors of 54620 and 54640 and find the biggest common factor number .

Step-1: Prime Factorization of 54620

Prime factors of 54620 are 2, 5, 2731. Prime factorization of 54620 in exponential form is:

54620 = 2² × 5¹ × 2731¹

Step-2: Prime Factorization of 54640

Prime factors of 54640 are 2, 5, 683. Prime factorization of 54640 in exponential form is:

54640 = 2⁴ × 5¹ × 683¹

Step-3: Factors of 54620

List of positive integer factors of 54620 that divides 54620 without a remainder.

1, 2, 4, 5, 10, 20, 2731, 5462, 10924, 13655, 27310

Step-4: Factors of 54640

List of positive integer factors of 54640 that divides 54620 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 683, 1366, 2732, 3415, 5464, 6830, 10928, 13660, 27320

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54620 and 54640. The biggest common factor number is the GCF number.
So the greatest common factor 54620 and 54640 is 20.

Also check out the Least Common Multiple of 54620 and 54640