What is the Greatest Common Factor of 84949 and 84957?

Greatest common factor (GCF) of 84949 and 84957 is 1.

GCF(84949,84957) = 1

We will now calculate the prime factors of 84949 and 84957, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84949 and 84957.

How to find the GCF of 84949 and 84957?

We will first find the prime factorization of 84949 and 84957. After we will calculate the factors of 84949 and 84957 and find the biggest common factor number .

Step-1: Prime Factorization of 84949

Prime factors of 84949 are 17, 19, 263. Prime factorization of 84949 in exponential form is:

84949 = 17¹ × 19¹ × 263¹

Step-2: Prime Factorization of 84957

Prime factors of 84957 are 3, 28319. Prime factorization of 84957 in exponential form is:

84957 = 3¹ × 28319¹

Step-3: Factors of 84949

List of positive integer factors of 84949 that divides 84949 without a remainder.

1, 17, 19, 263, 323, 4471, 4997

Step-4: Factors of 84957

List of positive integer factors of 84957 that divides 84949 without a remainder.

1, 3, 28319

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84949 and 84957. The biggest common factor number is the GCF number.
So the greatest common factor 84949 and 84957 is 1.

Also check out the Least Common Multiple of 84949 and 84957