What is the Greatest Common Factor of 34870 and 34881?

Greatest common factor (GCF) of 34870 and 34881 is 11.

GCF(34870,34881) = 11

We will now calculate the prime factors of 34870 and 34881, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34870 and 34881.

How to find the GCF of 34870 and 34881?

We will first find the prime factorization of 34870 and 34881. After we will calculate the factors of 34870 and 34881 and find the biggest common factor number .

Step-1: Prime Factorization of 34870

Prime factors of 34870 are 2, 5, 11, 317. Prime factorization of 34870 in exponential form is:

34870 = 2¹ × 5¹ × 11¹ × 317¹

Step-2: Prime Factorization of 34881

Prime factors of 34881 are 3, 7, 11, 151. Prime factorization of 34881 in exponential form is:

34881 = 3¹ × 7¹ × 11¹ × 151¹

Step-3: Factors of 34870

List of positive integer factors of 34870 that divides 34870 without a remainder.

1, 2, 5, 10, 11, 22, 55, 110, 317, 634, 1585, 3170, 3487, 6974, 17435

Step-4: Factors of 34881

List of positive integer factors of 34881 that divides 34870 without a remainder.

1, 3, 7, 11, 21, 33, 77, 151, 231, 453, 1057, 1661, 3171, 4983, 11627

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34870 and 34881. The biggest common factor number is the GCF number.
So the greatest common factor 34870 and 34881 is 11.

Also check out the Least Common Multiple of 34870 and 34881