What is the Greatest Common Factor of 81684 and 81700?

Greatest common factor (GCF) of 81684 and 81700 is 4.

GCF(81684,81700) = 4

We will now calculate the prime factors of 81684 and 81700, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81684 and 81700.

How to find the GCF of 81684 and 81700?

We will first find the prime factorization of 81684 and 81700. After we will calculate the factors of 81684 and 81700 and find the biggest common factor number .

Step-1: Prime Factorization of 81684

Prime factors of 81684 are 2, 3, 2269. Prime factorization of 81684 in exponential form is:

81684 = 2² × 3² × 2269¹

Step-2: Prime Factorization of 81700

Prime factors of 81700 are 2, 5, 19, 43. Prime factorization of 81700 in exponential form is:

81700 = 2² × 5² × 19¹ × 43¹

Step-3: Factors of 81684

List of positive integer factors of 81684 that divides 81684 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 2269, 4538, 6807, 9076, 13614, 20421, 27228, 40842

Step-4: Factors of 81700

List of positive integer factors of 81700 that divides 81684 without a remainder.

1, 2, 4, 5, 10, 19, 20, 25, 38, 43, 50, 76, 86, 95, 100, 172, 190, 215, 380, 430, 475, 817, 860, 950, 1075, 1634, 1900, 2150, 3268, 4085, 4300, 8170, 16340, 20425, 40850

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81684 and 81700. The biggest common factor number is the GCF number.
So the greatest common factor 81684 and 81700 is 4.

Also check out the Least Common Multiple of 81684 and 81700