What is the Greatest Common Factor of 54340 and 54353?

Greatest common factor (GCF) of 54340 and 54353 is 13.

GCF(54340,54353) = 13

We will now calculate the prime factors of 54340 and 54353, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54340 and 54353.

How to find the GCF of 54340 and 54353?

We will first find the prime factorization of 54340 and 54353. After we will calculate the factors of 54340 and 54353 and find the biggest common factor number .

Step-1: Prime Factorization of 54340

Prime factors of 54340 are 2, 5, 11, 13, 19. Prime factorization of 54340 in exponential form is:

54340 = 2² × 5¹ × 11¹ × 13¹ × 19¹

Step-2: Prime Factorization of 54353

Prime factors of 54353 are 13, 37, 113. Prime factorization of 54353 in exponential form is:

54353 = 13¹ × 37¹ × 113¹

Step-3: Factors of 54340

List of positive integer factors of 54340 that divides 54340 without a remainder.

1, 2, 4, 5, 10, 11, 13, 19, 20, 22, 26, 38, 44, 52, 55, 65, 76, 95, 110, 130, 143, 190, 209, 220, 247, 260, 286, 380, 418, 494, 572, 715, 836, 988, 1045, 1235, 1430, 2090, 2470, 2717, 2860, 4180, 4940, 5434, 10868, 13585, 27170

Step-4: Factors of 54353

List of positive integer factors of 54353 that divides 54340 without a remainder.

1, 13, 37, 113, 481, 1469, 4181

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54340 and 54353. The biggest common factor number is the GCF number.
So the greatest common factor 54340 and 54353 is 13.

Also check out the Least Common Multiple of 54340 and 54353