What is the Greatest Common Factor of 84943 and 84956?

Greatest common factor (GCF) of 84943 and 84956 is 1.

GCF(84943,84956) = 1

We will now calculate the prime factors of 84943 and 84956, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84943 and 84956.

How to find the GCF of 84943 and 84956?

We will first find the prime factorization of 84943 and 84956. After we will calculate the factors of 84943 and 84956 and find the biggest common factor number .

Step-1: Prime Factorization of 84943

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

84943 = 173¹ × 491¹

Step-2: Prime Factorization of 84956

Prime factors of 84956 are 2, 67, 317. Prime factorization of 84956 in exponential form is:

84956 = 2² × 67¹ × 317¹

Step-3: Factors of 84943

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

1, 173, 491

Step-4: Factors of 84956

List of positive integer factors of 84956 that divides 84943 without a remainder.

1, 2, 4, 67, 134, 268, 317, 634, 1268, 21239, 42478

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84943 and 84956. The biggest common factor number is the GCF number.
So the greatest common factor 84943 and 84956 is 1.

Also check out the Least Common Multiple of 84943 and 84956