What is the Greatest Common Factor of 84941 and 84955?

Greatest common factor (GCF) of 84941 and 84955 is 1.

GCF(84941,84955) = 1

We will now calculate the prime factors of 84941 and 84955, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84941 and 84955.

How to find the GCF of 84941 and 84955?

We will first find the prime factorization of 84941 and 84955. After we will calculate the factors of 84941 and 84955 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 84955

Prime factors of 84955 are 5, 13, 1307. Prime factorization of 84955 in exponential form is:

84955 = 5¹ × 13¹ × 1307¹

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 84955

List of positive integer factors of 84955 that divides 84941 without a remainder.

1, 5, 13, 65, 1307, 6535, 16991

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84941 and 84955. The biggest common factor number is the GCF number.
So the greatest common factor 84941 and 84955 is 1.

Also check out the Least Common Multiple of 84941 and 84955