What is the Greatest Common Factor of 34846 and 34858?

Greatest common factor (GCF) of 34846 and 34858 is 2.

GCF(34846,34858) = 2

We will now calculate the prime factors of 34846 and 34858, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34846 and 34858.

How to find the GCF of 34846 and 34858?

We will first find the prime factorization of 34846 and 34858. After we will calculate the factors of 34846 and 34858 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 34858

Prime factors of 34858 are 2, 29, 601. Prime factorization of 34858 in exponential form is:

34858 = 2¹ × 29¹ × 601¹

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 34858

List of positive integer factors of 34858 that divides 34846 without a remainder.

1, 2, 29, 58, 601, 1202, 17429

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34846 and 34858. The biggest common factor number is the GCF number.
So the greatest common factor 34846 and 34858 is 2.

Also check out the Least Common Multiple of 34846 and 34858