What is the Greatest Common Factor of 34912 and 34931?

Greatest common factor (GCF) of 34912 and 34931 is 1.

GCF(34912,34931) = 1

We will now calculate the prime factors of 34912 and 34931, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34912 and 34931.

How to find the GCF of 34912 and 34931?

We will first find the prime factorization of 34912 and 34931. After we will calculate the factors of 34912 and 34931 and find the biggest common factor number .

Step-1: Prime Factorization of 34912

Prime factors of 34912 are 2, 1091. Prime factorization of 34912 in exponential form is:

34912 = 2⁵ × 1091¹

Step-2: Prime Factorization of 34931

Prime factors of 34931 are 13, 2687. Prime factorization of 34931 in exponential form is:

34931 = 13¹ × 2687¹

Step-3: Factors of 34912

List of positive integer factors of 34912 that divides 34912 without a remainder.

1, 2, 4, 8, 16, 32, 1091, 2182, 4364, 8728, 17456

Step-4: Factors of 34931

List of positive integer factors of 34931 that divides 34912 without a remainder.

1, 13, 2687

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34912 and 34931. The biggest common factor number is the GCF number.
So the greatest common factor 34912 and 34931 is 1.

Also check out the Least Common Multiple of 34912 and 34931