What is the Greatest Common Factor of 51470 and 51480?

Greatest common factor (GCF) of 51470 and 51480 is 10.

GCF(51470,51480) = 10

We will now calculate the prime factors of 51470 and 51480, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51470 and 51480.

How to find the GCF of 51470 and 51480?

We will first find the prime factorization of 51470 and 51480. After we will calculate the factors of 51470 and 51480 and find the biggest common factor number .

Step-1: Prime Factorization of 51470

Prime factors of 51470 are 2, 5, 5147. Prime factorization of 51470 in exponential form is:

51470 = 2¹ × 5¹ × 5147¹

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 51470

List of positive integer factors of 51470 that divides 51470 without a remainder.

1, 2, 5, 10, 5147, 10294, 25735

Step-4: Factors of 51480

List of positive integer factors of 51480 that divides 51470 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 51470 and 51480. The biggest common factor number is the GCF number.
So the greatest common factor 51470 and 51480 is 10.

Also check out the Least Common Multiple of 51470 and 51480