What is the Greatest Common Factor of 51480 and 51495?

Greatest common factor (GCF) of 51480 and 51495 is 15.

GCF(51480,51495) = 15

We will now calculate the prime factors of 51480 and 51495, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51480 and 51495.

How to find the GCF of 51480 and 51495?

We will first find the prime factorization of 51480 and 51495. After we will calculate the factors of 51480 and 51495 and find the biggest common factor number .

Step-1: Prime Factorization of 51480

Prime factors of 51480 are 2, 3, 5, 11, 13. Prime factorization of 51480 in exponential form is:

51480 = 2³ × 3² × 5¹ × 11¹ × 13¹

Step-2: Prime Factorization of 51495

Prime factors of 51495 are 3, 5, 3433. Prime factorization of 51495 in exponential form is:

51495 = 3¹ × 5¹ × 3433¹

Step-3: Factors of 51480

List of positive integer factors of 51480 that divides 51480 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 11, 12, 13, 15, 18, 20, 22, 24, 26, 30, 33, 36, 39, 40, 44, 45, 52, 55, 60, 65, 66, 72, 78, 88, 90, 99, 104, 110, 117, 120, 130, 132, 143, 156, 165, 180, 195, 198, 220, 234, 260, 264, 286, 312, 330, 360, 390, 396, 429, 440, 468, 495, 520, 572, 585, 660, 715, 780, 792, 858, 936, 990, 1144, 1170, 1287, 1320, 1430, 1560, 1716, 1980, 2145, 2340, 2574, 2860, 3432, 3960, 4290, 4680, 5148, 5720, 6435, 8580, 10296, 12870, 17160, 25740

Step-4: Factors of 51495

List of positive integer factors of 51495 that divides 51480 without a remainder.

1, 3, 5, 15, 3433, 10299, 17165

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51480 and 51495. The biggest common factor number is the GCF number.
So the greatest common factor 51480 and 51495 is 15.

Also check out the Least Common Multiple of 51480 and 51495