What is the Greatest Common Factor of 84136 and 84149?

Greatest common factor (GCF) of 84136 and 84149 is 13.

GCF(84136,84149) = 13

We will now calculate the prime factors of 84136 and 84149, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84136 and 84149.

How to find the GCF of 84136 and 84149?

We will first find the prime factorization of 84136 and 84149. After we will calculate the factors of 84136 and 84149 and find the biggest common factor number .

Step-1: Prime Factorization of 84136

Prime factors of 84136 are 2, 13, 809. Prime factorization of 84136 in exponential form is:

84136 = 2³ × 13¹ × 809¹

Step-2: Prime Factorization of 84149

Prime factors of 84149 are 13, 6473. Prime factorization of 84149 in exponential form is:

84149 = 13¹ × 6473¹

Step-3: Factors of 84136

List of positive integer factors of 84136 that divides 84136 without a remainder.

1, 2, 4, 8, 13, 26, 52, 104, 809, 1618, 3236, 6472, 10517, 21034, 42068

Step-4: Factors of 84149

List of positive integer factors of 84149 that divides 84136 without a remainder.

1, 13, 6473

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84136 and 84149. The biggest common factor number is the GCF number.
So the greatest common factor 84136 and 84149 is 13.

Also check out the Least Common Multiple of 84136 and 84149