What is the Greatest Common Factor of 34961 and 34979?

Greatest common factor (GCF) of 34961 and 34979 is 1.

GCF(34961,34979) = 1

We will now calculate the prime factors of 34961 and 34979, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34961 and 34979.

How to find the GCF of 34961 and 34979?

We will first find the prime factorization of 34961 and 34979. After we will calculate the factors of 34961 and 34979 and find the biggest common factor number .

Step-1: Prime Factorization of 34961

Prime factors of 34961 are 34961. Prime factorization of 34961 in exponential form is:

34961 = 34961¹

Step-2: Prime Factorization of 34979

Prime factors of 34979 are 7, 19, 263. Prime factorization of 34979 in exponential form is:

34979 = 7¹ × 19¹ × 263¹

Step-3: Factors of 34961

List of positive integer factors of 34961 that divides 34961 without a remainder.

Step-4: Factors of 34979

List of positive integer factors of 34979 that divides 34961 without a remainder.

1, 7, 19, 133, 263, 1841, 4997

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34961 and 34979. The biggest common factor number is the GCF number.
So the greatest common factor 34961 and 34979 is 1.

Also check out the Least Common Multiple of 34961 and 34979