What is the Greatest Common Factor of 84924 and 84943?

Greatest common factor (GCF) of 84924 and 84943 is 1.

GCF(84924,84943) = 1

We will now calculate the prime factors of 84924 and 84943, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84924 and 84943.

How to find the GCF of 84924 and 84943?

We will first find the prime factorization of 84924 and 84943. After we will calculate the factors of 84924 and 84943 and find the biggest common factor number .

Step-1: Prime Factorization of 84924

Prime factors of 84924 are 2, 3, 7, 337. Prime factorization of 84924 in exponential form is:

84924 = 2² × 3² × 7¹ × 337¹

Step-2: Prime Factorization of 84943

Prime factors of 84943 are 173, 491. Prime factorization of 84943 in exponential form is:

84943 = 173¹ × 491¹

Step-3: Factors of 84924

List of positive integer factors of 84924 that divides 84924 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252, 337, 674, 1011, 1348, 2022, 2359, 3033, 4044, 4718, 6066, 7077, 9436, 12132, 14154, 21231, 28308, 42462

Step-4: Factors of 84943

List of positive integer factors of 84943 that divides 84924 without a remainder.

1, 173, 491

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84924 and 84943. The biggest common factor number is the GCF number.
So the greatest common factor 84924 and 84943 is 1.

Also check out the Least Common Multiple of 84924 and 84943