What is the Greatest Common Factor of 53460 and 53468?

Greatest common factor (GCF) of 53460 and 53468 is 4.

GCF(53460,53468) = 4

We will now calculate the prime factors of 53460 and 53468, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53460 and 53468.

How to find the GCF of 53460 and 53468?

We will first find the prime factorization of 53460 and 53468. After we will calculate the factors of 53460 and 53468 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 53468

Prime factors of 53468 are 2, 13367. Prime factorization of 53468 in exponential form is:

53468 = 2² × 13367¹

Step-3: Factors of 53460

List of positive integer factors of 53460 that divides 53460 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

Step-4: Factors of 53468

List of positive integer factors of 53468 that divides 53460 without a remainder.

1, 2, 4, 13367, 26734

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53460 and 53468. The biggest common factor number is the GCF number.
So the greatest common factor 53460 and 53468 is 4.

Also check out the Least Common Multiple of 53460 and 53468