What is the Greatest Common Factor of 84941 and 84956?

Greatest common factor (GCF) of 84941 and 84956 is 1.

GCF(84941,84956) = 1

We will now calculate the prime factors of 84941 and 84956, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84941 and 84956.

How to find the GCF of 84941 and 84956?

We will first find the prime factorization of 84941 and 84956. After we will calculate the factors of 84941 and 84956 and find the biggest common factor number .

Step-1: Prime Factorization of 84941

Prime factors of 84941 are 29, 101. Prime factorization of 84941 in exponential form is:

84941 = 29² × 101¹

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 84941

List of positive integer factors of 84941 that divides 84941 without a remainder.

1, 29, 101, 841, 2929

Step-4: Factors of 84956

List of positive integer factors of 84956 that divides 84941 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 84941 and 84956. The biggest common factor number is the GCF number.
So the greatest common factor 84941 and 84956 is 1.

Also check out the Least Common Multiple of 84941 and 84956