What is the Greatest Common Factor of 51510 and 51520?

Greatest common factor (GCF) of 51510 and 51520 is 10.

GCF(51510,51520) = 10

We will now calculate the prime factors of 51510 and 51520, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51510 and 51520.

How to find the GCF of 51510 and 51520?

We will first find the prime factorization of 51510 and 51520. After we will calculate the factors of 51510 and 51520 and find the biggest common factor number .

Step-1: Prime Factorization of 51510

Prime factors of 51510 are 2, 3, 5, 17, 101. Prime factorization of 51510 in exponential form is:

51510 = 2¹ × 3¹ × 5¹ × 17¹ × 101¹

Step-2: Prime Factorization of 51520

Prime factors of 51520 are 2, 5, 7, 23. Prime factorization of 51520 in exponential form is:

51520 = 2⁶ × 5¹ × 7¹ × 23¹

Step-3: Factors of 51510

List of positive integer factors of 51510 that divides 51510 without a remainder.

1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 101, 102, 170, 202, 255, 303, 505, 510, 606, 1010, 1515, 1717, 3030, 3434, 5151, 8585, 10302, 17170, 25755

Step-4: Factors of 51520

List of positive integer factors of 51520 that divides 51510 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 23, 28, 32, 35, 40, 46, 56, 64, 70, 80, 92, 112, 115, 140, 160, 161, 184, 224, 230, 280, 320, 322, 368, 448, 460, 560, 644, 736, 805, 920, 1120, 1288, 1472, 1610, 1840, 2240, 2576, 3220, 3680, 5152, 6440, 7360, 10304, 12880, 25760

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51510 and 51520. The biggest common factor number is the GCF number.
So the greatest common factor 51510 and 51520 is 10.

Also check out the Least Common Multiple of 51510 and 51520