What is the Greatest Common Factor of 34892 and 34911?

Greatest common factor (GCF) of 34892 and 34911 is 1.

GCF(34892,34911) = 1

We will now calculate the prime factors of 34892 and 34911, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34892 and 34911.

How to find the GCF of 34892 and 34911?

We will first find the prime factorization of 34892 and 34911. After we will calculate the factors of 34892 and 34911 and find the biggest common factor number .

Step-1: Prime Factorization of 34892

Prime factors of 34892 are 2, 11, 13, 61. Prime factorization of 34892 in exponential form is:

34892 = 2² × 11¹ × 13¹ × 61¹

Step-2: Prime Factorization of 34911

Prime factors of 34911 are 3, 431. Prime factorization of 34911 in exponential form is:

34911 = 3⁴ × 431¹

Step-3: Factors of 34892

List of positive integer factors of 34892 that divides 34892 without a remainder.

1, 2, 4, 11, 13, 22, 26, 44, 52, 61, 122, 143, 244, 286, 572, 671, 793, 1342, 1586, 2684, 3172, 8723, 17446

Step-4: Factors of 34911

List of positive integer factors of 34911 that divides 34892 without a remainder.

1, 3, 9, 27, 81, 431, 1293, 3879, 11637

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34892 and 34911. The biggest common factor number is the GCF number.
So the greatest common factor 34892 and 34911 is 1.

Also check out the Least Common Multiple of 34892 and 34911