What is the Greatest Common Factor of 84838 and 84851?

Greatest common factor (GCF) of 84838 and 84851 is 13.

GCF(84838,84851) = 13

We will now calculate the prime factors of 84838 and 84851, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84838 and 84851.

How to find the GCF of 84838 and 84851?

We will first find the prime factorization of 84838 and 84851. After we will calculate the factors of 84838 and 84851 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 84851

Prime factors of 84851 are 13, 61, 107. Prime factorization of 84851 in exponential form is:

84851 = 13¹ × 61¹ × 107¹

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 84851

List of positive integer factors of 84851 that divides 84838 without a remainder.

1, 13, 61, 107, 793, 1391, 6527

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84838 and 84851. The biggest common factor number is the GCF number.
So the greatest common factor 84838 and 84851 is 13.

Also check out the Least Common Multiple of 84838 and 84851