What is the Greatest Common Factor of 83364 and 83374?

Greatest common factor (GCF) of 83364 and 83374 is 2.

GCF(83364,83374) = 2

We will now calculate the prime factors of 83364 and 83374, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83364 and 83374.

How to find the GCF of 83364 and 83374?

We will first find the prime factorization of 83364 and 83374. After we will calculate the factors of 83364 and 83374 and find the biggest common factor number .

Step-1: Prime Factorization of 83364

Prime factors of 83364 are 2, 3, 6947. Prime factorization of 83364 in exponential form is:

83364 = 2² × 3¹ × 6947¹

Step-2: Prime Factorization of 83374

Prime factors of 83374 are 2, 41687. Prime factorization of 83374 in exponential form is:

83374 = 2¹ × 41687¹

Step-3: Factors of 83364

List of positive integer factors of 83364 that divides 83364 without a remainder.

1, 2, 3, 4, 6, 12, 6947, 13894, 20841, 27788, 41682

Step-4: Factors of 83374

List of positive integer factors of 83374 that divides 83364 without a remainder.

1, 2, 41687

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83364 and 83374. The biggest common factor number is the GCF number.
So the greatest common factor 83364 and 83374 is 2.

Also check out the Least Common Multiple of 83364 and 83374