What is the Greatest Common Factor of 51684 and 51700?

Greatest common factor (GCF) of 51684 and 51700 is 4.

GCF(51684,51700) = 4

We will now calculate the prime factors of 51684 and 51700, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51684 and 51700.

How to find the GCF of 51684 and 51700?

We will first find the prime factorization of 51684 and 51700. After we will calculate the factors of 51684 and 51700 and find the biggest common factor number .

Step-1: Prime Factorization of 51684

Prime factors of 51684 are 2, 3, 59, 73. Prime factorization of 51684 in exponential form is:

51684 = 2² × 3¹ × 59¹ × 73¹

Step-2: Prime Factorization of 51700

Prime factors of 51700 are 2, 5, 11, 47. Prime factorization of 51700 in exponential form is:

51700 = 2² × 5² × 11¹ × 47¹

Step-3: Factors of 51684

List of positive integer factors of 51684 that divides 51684 without a remainder.

1, 2, 3, 4, 6, 12, 59, 73, 118, 146, 177, 219, 236, 292, 354, 438, 708, 876, 4307, 8614, 12921, 17228, 25842

Step-4: Factors of 51700

List of positive integer factors of 51700 that divides 51684 without a remainder.

1, 2, 4, 5, 10, 11, 20, 22, 25, 44, 47, 50, 55, 94, 100, 110, 188, 220, 235, 275, 470, 517, 550, 940, 1034, 1100, 1175, 2068, 2350, 2585, 4700, 5170, 10340, 12925, 25850

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51684 and 51700. The biggest common factor number is the GCF number.
So the greatest common factor 51684 and 51700 is 4.

Also check out the Least Common Multiple of 51684 and 51700