What is the Greatest Common Factor of 84838 and 84846?

Greatest common factor (GCF) of 84838 and 84846 is 2.

GCF(84838,84846) = 2

We will now calculate the prime factors of 84838 and 84846, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84838 and 84846.

How to find the GCF of 84838 and 84846?

We will first find the prime factorization of 84838 and 84846. After we will calculate the factors of 84838 and 84846 and find the biggest common factor number .

Step-1: Prime Factorization of 84838

Prime factors of 84838 are 2, 13, 251. Prime factorization of 84838 in exponential form is:

84838 = 2¹ × 13² × 251¹

Step-2: Prime Factorization of 84846

Prime factors of 84846 are 2, 3, 79, 179. Prime factorization of 84846 in exponential form is:

84846 = 2¹ × 3¹ × 79¹ × 179¹

Step-3: Factors of 84838

List of positive integer factors of 84838 that divides 84838 without a remainder.

1, 2, 13, 26, 169, 251, 338, 502, 3263, 6526, 42419

Step-4: Factors of 84846

List of positive integer factors of 84846 that divides 84838 without a remainder.

1, 2, 3, 6, 79, 158, 179, 237, 358, 474, 537, 1074, 14141, 28282, 42423

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84838 and 84846. The biggest common factor number is the GCF number.
So the greatest common factor 84838 and 84846 is 2.

Also check out the Least Common Multiple of 84838 and 84846