What is the Greatest Common Factor of 51500 and 51520?

Greatest common factor (GCF) of 51500 and 51520 is 20.

GCF(51500,51520) = 20

We will now calculate the prime factors of 51500 and 51520, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51500 and 51520.

How to find the GCF of 51500 and 51520?

We will first find the prime factorization of 51500 and 51520. After we will calculate the factors of 51500 and 51520 and find the biggest common factor number .

Step-1: Prime Factorization of 51500

Prime factors of 51500 are 2, 5, 103. Prime factorization of 51500 in exponential form is:

51500 = 2² × 5³ × 103¹

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 51500

List of positive integer factors of 51500 that divides 51500 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 103, 125, 206, 250, 412, 500, 515, 1030, 2060, 2575, 5150, 10300, 12875, 25750

Step-4: Factors of 51520

List of positive integer factors of 51520 that divides 51500 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 51500 and 51520. The biggest common factor number is the GCF number.
So the greatest common factor 51500 and 51520 is 20.

Also check out the Least Common Multiple of 51500 and 51520