What is the Greatest Common Factor of 54340 and 54358?

Greatest common factor (GCF) of 54340 and 54358 is 2.

GCF(54340,54358) = 2

We will now calculate the prime factors of 54340 and 54358, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54340 and 54358.

How to find the GCF of 54340 and 54358?

We will first find the prime factorization of 54340 and 54358. After we will calculate the factors of 54340 and 54358 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 54358

Prime factors of 54358 are 2, 27179. Prime factorization of 54358 in exponential form is:

54358 = 2¹ × 27179¹

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 54358

List of positive integer factors of 54358 that divides 54340 without a remainder.

1, 2, 27179

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54340 and 54358. The biggest common factor number is the GCF number.
So the greatest common factor 54340 and 54358 is 2.

Also check out the Least Common Multiple of 54340 and 54358