What is the Greatest Common Factor of 84956 and 84961?

Greatest common factor (GCF) of 84956 and 84961 is 1.

GCF(84956,84961) = 1

We will now calculate the prime factors of 84956 and 84961, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84956 and 84961.

How to find the GCF of 84956 and 84961?

We will first find the prime factorization of 84956 and 84961. After we will calculate the factors of 84956 and 84961 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 84961

Prime factors of 84961 are 84961. Prime factorization of 84961 in exponential form is:

84961 = 84961¹

Step-3: Factors of 84956

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

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

Step-4: Factors of 84961

List of positive integer factors of 84961 that divides 84956 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84956 and 84961. The biggest common factor number is the GCF number.
So the greatest common factor 84956 and 84961 is 1.

Also check out the Least Common Multiple of 84956 and 84961