What is the Greatest Common Factor of 34854 and 34862?

Greatest common factor (GCF) of 34854 and 34862 is 2.

GCF(34854,34862) = 2

We will now calculate the prime factors of 34854 and 34862, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34854 and 34862.

How to find the GCF of 34854 and 34862?

We will first find the prime factorization of 34854 and 34862. After we will calculate the factors of 34854 and 34862 and find the biggest common factor number .

Step-1: Prime Factorization of 34854

Prime factors of 34854 are 2, 3, 37, 157. Prime factorization of 34854 in exponential form is:

34854 = 2¹ × 3¹ × 37¹ × 157¹

Step-2: Prime Factorization of 34862

Prime factors of 34862 are 2, 17431. Prime factorization of 34862 in exponential form is:

34862 = 2¹ × 17431¹

Step-3: Factors of 34854

List of positive integer factors of 34854 that divides 34854 without a remainder.

1, 2, 3, 6, 37, 74, 111, 157, 222, 314, 471, 942, 5809, 11618, 17427

Step-4: Factors of 34862

List of positive integer factors of 34862 that divides 34854 without a remainder.

1, 2, 17431

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34854 and 34862. The biggest common factor number is the GCF number.
So the greatest common factor 34854 and 34862 is 2.

Also check out the Least Common Multiple of 34854 and 34862