What is the Greatest Common Factor of 34964 and 34979?

Greatest common factor (GCF) of 34964 and 34979 is 1.

GCF(34964,34979) = 1

We will now calculate the prime factors of 34964 and 34979, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34964 and 34979.

How to find the GCF of 34964 and 34979?

We will first find the prime factorization of 34964 and 34979. After we will calculate the factors of 34964 and 34979 and find the biggest common factor number .

Step-1: Prime Factorization of 34964

Prime factors of 34964 are 2, 8741. Prime factorization of 34964 in exponential form is:

34964 = 2² × 8741¹

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 34964

List of positive integer factors of 34964 that divides 34964 without a remainder.

1, 2, 4, 8741, 17482

Step-4: Factors of 34979

List of positive integer factors of 34979 that divides 34964 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34964 and 34979. The biggest common factor number is the GCF number.
So the greatest common factor 34964 and 34979 is 1.

Also check out the Least Common Multiple of 34964 and 34979