What is the Greatest Common Factor of 84941 and 84949?

Greatest common factor (GCF) of 84941 and 84949 is 1.

GCF(84941,84949) = 1

We will now calculate the prime factors of 84941 and 84949, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84941 and 84949.

How to find the GCF of 84941 and 84949?

We will first find the prime factorization of 84941 and 84949. After we will calculate the factors of 84941 and 84949 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 84949

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

84949 = 17¹ × 19¹ × 263¹

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 84949

List of positive integer factors of 84949 that divides 84941 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84941 and 84949. The biggest common factor number is the GCF number.
So the greatest common factor 84941 and 84949 is 1.

Also check out the Least Common Multiple of 84941 and 84949