What is the Greatest Common Factor of 53440 and 53460?

Greatest common factor (GCF) of 53440 and 53460 is 20.

GCF(53440,53460) = 20

We will now calculate the prime factors of 53440 and 53460, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53440 and 53460.

How to find the GCF of 53440 and 53460?

We will first find the prime factorization of 53440 and 53460. After we will calculate the factors of 53440 and 53460 and find the biggest common factor number .

Step-1: Prime Factorization of 53440

Prime factors of 53440 are 2, 5, 167. Prime factorization of 53440 in exponential form is:

53440 = 2⁶ × 5¹ × 167¹

Step-2: Prime Factorization of 53460

Prime factors of 53460 are 2, 3, 5, 11. Prime factorization of 53460 in exponential form is:

53460 = 2² × 3⁵ × 5¹ × 11¹

Step-3: Factors of 53440

List of positive integer factors of 53440 that divides 53440 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 167, 320, 334, 668, 835, 1336, 1670, 2672, 3340, 5344, 6680, 10688, 13360, 26720

Step-4: Factors of 53460

List of positive integer factors of 53460 that divides 53440 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 11, 12, 15, 18, 20, 22, 27, 30, 33, 36, 44, 45, 54, 55, 60, 66, 81, 90, 99, 108, 110, 132, 135, 162, 165, 180, 198, 220, 243, 270, 297, 324, 330, 396, 405, 486, 495, 540, 594, 660, 810, 891, 972, 990, 1188, 1215, 1485, 1620, 1782, 1980, 2430, 2673, 2970, 3564, 4455, 4860, 5346, 5940, 8910, 10692, 13365, 17820, 26730

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53440 and 53460. The biggest common factor number is the GCF number.
So the greatest common factor 53440 and 53460 is 20.

Also check out the Least Common Multiple of 53440 and 53460