What is the Greatest Common Factor of 83378 and 83384?

Greatest common factor (GCF) of 83378 and 83384 is 2.

GCF(83378,83384) = 2

We will now calculate the prime factors of 83378 and 83384, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83378 and 83384.

How to find the GCF of 83378 and 83384?

We will first find the prime factorization of 83378 and 83384. After we will calculate the factors of 83378 and 83384 and find the biggest common factor number .

Step-1: Prime Factorization of 83378

Prime factors of 83378 are 2, 47, 887. Prime factorization of 83378 in exponential form is:

83378 = 2¹ × 47¹ × 887¹

Step-2: Prime Factorization of 83384

Prime factors of 83384 are 2, 7, 1489. Prime factorization of 83384 in exponential form is:

83384 = 2³ × 7¹ × 1489¹

Step-3: Factors of 83378

List of positive integer factors of 83378 that divides 83378 without a remainder.

1, 2, 47, 94, 887, 1774, 41689

Step-4: Factors of 83384

List of positive integer factors of 83384 that divides 83378 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 1489, 2978, 5956, 10423, 11912, 20846, 41692

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83378 and 83384. The biggest common factor number is the GCF number.
So the greatest common factor 83378 and 83384 is 2.

Also check out the Least Common Multiple of 83378 and 83384