What is the Greatest Common Factor of 55280 and 55300?

Greatest common factor (GCF) of 55280 and 55300 is 20.

GCF(55280,55300) = 20

We will now calculate the prime factors of 55280 and 55300, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55280 and 55300.

How to find the GCF of 55280 and 55300?

We will first find the prime factorization of 55280 and 55300. After we will calculate the factors of 55280 and 55300 and find the biggest common factor number .

Step-1: Prime Factorization of 55280

Prime factors of 55280 are 2, 5, 691. Prime factorization of 55280 in exponential form is:

55280 = 2⁴ × 5¹ × 691¹

Step-2: Prime Factorization of 55300

Prime factors of 55300 are 2, 5, 7, 79. Prime factorization of 55300 in exponential form is:

55300 = 2² × 5² × 7¹ × 79¹

Step-3: Factors of 55280

List of positive integer factors of 55280 that divides 55280 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 691, 1382, 2764, 3455, 5528, 6910, 11056, 13820, 27640

Step-4: Factors of 55300

List of positive integer factors of 55300 that divides 55280 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 79, 100, 140, 158, 175, 316, 350, 395, 553, 700, 790, 1106, 1580, 1975, 2212, 2765, 3950, 5530, 7900, 11060, 13825, 27650

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55280 and 55300. The biggest common factor number is the GCF number.
So the greatest common factor 55280 and 55300 is 20.

Also check out the Least Common Multiple of 55280 and 55300