What is the Greatest Common Factor of 84100 and 84117?

Greatest common factor (GCF) of 84100 and 84117 is 1.

GCF(84100,84117) = 1

We will now calculate the prime factors of 84100 and 84117, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84100 and 84117.

How to find the GCF of 84100 and 84117?

We will first find the prime factorization of 84100 and 84117. After we will calculate the factors of 84100 and 84117 and find the biggest common factor number .

Step-1: Prime Factorization of 84100

Prime factors of 84100 are 2, 5, 29. Prime factorization of 84100 in exponential form is:

84100 = 2² × 5² × 29²

Step-2: Prime Factorization of 84117

Prime factors of 84117 are 3, 11, 2549. Prime factorization of 84117 in exponential form is:

84117 = 3¹ × 11¹ × 2549¹

Step-3: Factors of 84100

List of positive integer factors of 84100 that divides 84100 without a remainder.

1, 2, 4, 5, 10, 20, 25, 29, 50, 58, 100, 116, 145, 290, 580, 725, 841, 1450, 1682, 2900, 3364, 4205, 8410, 16820, 21025, 42050

Step-4: Factors of 84117

List of positive integer factors of 84117 that divides 84100 without a remainder.

1, 3, 11, 33, 2549, 7647, 28039

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84100 and 84117. The biggest common factor number is the GCF number.
So the greatest common factor 84100 and 84117 is 1.

Also check out the Least Common Multiple of 84100 and 84117