What is the Greatest Common Factor of 34846 and 34854?

Greatest common factor (GCF) of 34846 and 34854 is 2.

GCF(34846,34854) = 2

We will now calculate the prime factors of 34846 and 34854, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34846 and 34854.

How to find the GCF of 34846 and 34854?

We will first find the prime factorization of 34846 and 34854. After we will calculate the factors of 34846 and 34854 and find the biggest common factor number .

Step-1: Prime Factorization of 34846

Prime factors of 34846 are 2, 7, 19, 131. Prime factorization of 34846 in exponential form is:

34846 = 2¹ × 7¹ × 19¹ × 131¹

Step-2: 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-3: Factors of 34846

List of positive integer factors of 34846 that divides 34846 without a remainder.

1, 2, 7, 14, 19, 38, 131, 133, 262, 266, 917, 1834, 2489, 4978, 17423

Step-4: Factors of 34854

List of positive integer factors of 34854 that divides 34846 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34846 and 34854. The biggest common factor number is the GCF number.
So the greatest common factor 34846 and 34854 is 2.

Also check out the Least Common Multiple of 34846 and 34854