What is the Greatest Common Factor of 51475 and 51480?

Greatest common factor (GCF) of 51475 and 51480 is 5.

GCF(51475,51480) = 5

We will now calculate the prime factors of 51475 and 51480, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51475 and 51480.

How to find the GCF of 51475 and 51480?

We will first find the prime factorization of 51475 and 51480. After we will calculate the factors of 51475 and 51480 and find the biggest common factor number .

Step-1: Prime Factorization of 51475

Prime factors of 51475 are 5, 29, 71. Prime factorization of 51475 in exponential form is:

51475 = 5² × 29¹ × 71¹

Step-2: 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-3: Factors of 51475

List of positive integer factors of 51475 that divides 51475 without a remainder.

1, 5, 25, 29, 71, 145, 355, 725, 1775, 2059, 10295

Step-4: Factors of 51480

List of positive integer factors of 51480 that divides 51475 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51475 and 51480. The biggest common factor number is the GCF number.
So the greatest common factor 51475 and 51480 is 5.

Also check out the Least Common Multiple of 51475 and 51480