What is the Greatest Common Factor of 53452 and 53460?

Greatest common factor (GCF) of 53452 and 53460 is 4.

GCF(53452,53460) = 4

We will now calculate the prime factors of 53452 and 53460, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53452 and 53460.

How to find the GCF of 53452 and 53460?

We will first find the prime factorization of 53452 and 53460. After we will calculate the factors of 53452 and 53460 and find the biggest common factor number .

Step-1: Prime Factorization of 53452

Prime factors of 53452 are 2, 7, 23, 83. Prime factorization of 53452 in exponential form is:

53452 = 2² × 7¹ × 23¹ × 83¹

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 53452

List of positive integer factors of 53452 that divides 53452 without a remainder.

1, 2, 4, 7, 14, 23, 28, 46, 83, 92, 161, 166, 322, 332, 581, 644, 1162, 1909, 2324, 3818, 7636, 13363, 26726

Step-4: Factors of 53460

List of positive integer factors of 53460 that divides 53452 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 53452 and 53460. The biggest common factor number is the GCF number.
So the greatest common factor 53452 and 53460 is 4.

Also check out the Least Common Multiple of 53452 and 53460