What is the Greatest Common Factor of 34947 and 34961?

Greatest common factor (GCF) of 34947 and 34961 is 1.

GCF(34947,34961) = 1

We will now calculate the prime factors of 34947 and 34961, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34947 and 34961.

How to find the GCF of 34947 and 34961?

We will first find the prime factorization of 34947 and 34961. After we will calculate the factors of 34947 and 34961 and find the biggest common factor number .

Step-1: Prime Factorization of 34947

Prime factors of 34947 are 3, 11, 353. Prime factorization of 34947 in exponential form is:

34947 = 3² × 11¹ × 353¹

Step-2: Prime Factorization of 34961

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

34961 = 34961¹

Step-3: Factors of 34947

List of positive integer factors of 34947 that divides 34947 without a remainder.

1, 3, 9, 11, 33, 99, 353, 1059, 3177, 3883, 11649

Step-4: Factors of 34961

List of positive integer factors of 34961 that divides 34947 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34947 and 34961. The biggest common factor number is the GCF number.
So the greatest common factor 34947 and 34961 is 1.

Also check out the Least Common Multiple of 34947 and 34961