What is the Greatest Common Factor of 83684 and 83699?

Greatest common factor (GCF) of 83684 and 83699 is 1.

GCF(83684,83699) = 1

We will now calculate the prime factors of 83684 and 83699, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83684 and 83699.

How to find the GCF of 83684 and 83699?

We will first find the prime factorization of 83684 and 83699. After we will calculate the factors of 83684 and 83699 and find the biggest common factor number .

Step-1: Prime Factorization of 83684

Prime factors of 83684 are 2, 20921. Prime factorization of 83684 in exponential form is:

83684 = 2² × 20921¹

Step-2: Prime Factorization of 83699

Prime factors of 83699 are 7, 11, 1087. Prime factorization of 83699 in exponential form is:

83699 = 7¹ × 11¹ × 1087¹

Step-3: Factors of 83684

List of positive integer factors of 83684 that divides 83684 without a remainder.

1, 2, 4, 20921, 41842

Step-4: Factors of 83699

List of positive integer factors of 83699 that divides 83684 without a remainder.

1, 7, 11, 77, 1087, 7609, 11957

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83684 and 83699. The biggest common factor number is the GCF number.
So the greatest common factor 83684 and 83699 is 1.

Also check out the Least Common Multiple of 83684 and 83699