What is the Greatest Common Factor of 54670 and 54684?

Greatest common factor (GCF) of 54670 and 54684 is 14.

GCF(54670,54684) = 14

We will now calculate the prime factors of 54670 and 54684, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54670 and 54684.

How to find the GCF of 54670 and 54684?

We will first find the prime factorization of 54670 and 54684. After we will calculate the factors of 54670 and 54684 and find the biggest common factor number .

Step-1: Prime Factorization of 54670

Prime factors of 54670 are 2, 5, 7, 11, 71. Prime factorization of 54670 in exponential form is:

54670 = 2¹ × 5¹ × 7¹ × 11¹ × 71¹

Step-2: Prime Factorization of 54684

Prime factors of 54684 are 2, 3, 7, 31. Prime factorization of 54684 in exponential form is:

54684 = 2² × 3² × 7² × 31¹

Step-3: Factors of 54670

List of positive integer factors of 54670 that divides 54670 without a remainder.

1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 71, 77, 110, 142, 154, 355, 385, 497, 710, 770, 781, 994, 1562, 2485, 3905, 4970, 5467, 7810, 10934, 27335

Step-4: Factors of 54684

List of positive integer factors of 54684 that divides 54670 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 31, 36, 42, 49, 62, 63, 84, 93, 98, 124, 126, 147, 186, 196, 217, 252, 279, 294, 372, 434, 441, 558, 588, 651, 868, 882, 1116, 1302, 1519, 1764, 1953, 2604, 3038, 3906, 4557, 6076, 7812, 9114, 13671, 18228, 27342

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54670 and 54684. The biggest common factor number is the GCF number.
So the greatest common factor 54670 and 54684 is 14.

Also check out the Least Common Multiple of 54670 and 54684