What is the Greatest Common Factor of 54320 and 54340?

Greatest common factor (GCF) of 54320 and 54340 is 20.

GCF(54320,54340) = 20

We will now calculate the prime factors of 54320 and 54340, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54320 and 54340.

How to find the GCF of 54320 and 54340?

We will first find the prime factorization of 54320 and 54340. After we will calculate the factors of 54320 and 54340 and find the biggest common factor number .

Step-1: Prime Factorization of 54320

Prime factors of 54320 are 2, 5, 7, 97. Prime factorization of 54320 in exponential form is:

54320 = 2⁴ × 5¹ × 7¹ × 97¹

Step-2: 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-3: Factors of 54320

List of positive integer factors of 54320 that divides 54320 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 97, 112, 140, 194, 280, 388, 485, 560, 679, 776, 970, 1358, 1552, 1940, 2716, 3395, 3880, 5432, 6790, 7760, 10864, 13580, 27160

Step-4: Factors of 54340

List of positive integer factors of 54340 that divides 54320 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54320 and 54340. The biggest common factor number is the GCF number.
So the greatest common factor 54320 and 54340 is 20.

Also check out the Least Common Multiple of 54320 and 54340