What is the Greatest Common Factor of 84148 and 84154?

Greatest common factor (GCF) of 84148 and 84154 is 2.

GCF(84148,84154) = 2

We will now calculate the prime factors of 84148 and 84154, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84148 and 84154.

How to find the GCF of 84148 and 84154?

We will first find the prime factorization of 84148 and 84154. After we will calculate the factors of 84148 and 84154 and find the biggest common factor number .

Step-1: Prime Factorization of 84148

Prime factors of 84148 are 2, 109, 193. Prime factorization of 84148 in exponential form is:

84148 = 2² × 109¹ × 193¹

Step-2: Prime Factorization of 84154

Prime factors of 84154 are 2, 7, 6011. Prime factorization of 84154 in exponential form is:

84154 = 2¹ × 7¹ × 6011¹

Step-3: Factors of 84148

List of positive integer factors of 84148 that divides 84148 without a remainder.

1, 2, 4, 109, 193, 218, 386, 436, 772, 21037, 42074

Step-4: Factors of 84154

List of positive integer factors of 84154 that divides 84148 without a remainder.

1, 2, 7, 14, 6011, 12022, 42077

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84148 and 84154. The biggest common factor number is the GCF number.
So the greatest common factor 84148 and 84154 is 2.

Also check out the Least Common Multiple of 84148 and 84154