GCF and LCM Calculator Logo

What is the Greatest Common Factor of 34961 and 34966?

Greatest common factor (GCF) of 34961 and 34966 is 1.

GCF(34961,34966) = 1

We will now calculate the prime factors of 34961 and 34966, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34961 and 34966.

GCF Calculator and
and

How to find the GCF of 34961 and 34966?

We will first find the prime factorization of 34961 and 34966. After we will calculate the factors of 34961 and 34966 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 34966

Prime factors of 34966 are 2, 17483. Prime factorization of 34966 in exponential form is:

34966 = 21 × 174831

Step-3: Factors of 34961

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

1

Step-4: Factors of 34966

List of positive integer factors of 34966 that divides 34961 without a remainder.

1, 2, 17483

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34961 and 34966. The biggest common factor number is the GCF number.
So the greatest common factor 34961 and 34966 is 1.

Also check out the Least Common Multiple of 34961 and 34966