What is the Greatest Common Factor of 80376 and 80385?

Greatest common factor (GCF) of 80376 and 80385 is 3.

GCF(80376,80385) = 3

We will now calculate the prime factors of 80376 and 80385, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80376 and 80385.

How to find the GCF of 80376 and 80385?

We will first find the prime factorization of 80376 and 80385. After we will calculate the factors of 80376 and 80385 and find the biggest common factor number .

Step-1: Prime Factorization of 80376

Prime factors of 80376 are 2, 3, 17, 197. Prime factorization of 80376 in exponential form is:

80376 = 2³ × 3¹ × 17¹ × 197¹

Step-2: Prime Factorization of 80385

Prime factors of 80385 are 3, 5, 23, 233. Prime factorization of 80385 in exponential form is:

80385 = 3¹ × 5¹ × 23¹ × 233¹

Step-3: Factors of 80376

List of positive integer factors of 80376 that divides 80376 without a remainder.

1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 197, 204, 394, 408, 591, 788, 1182, 1576, 2364, 3349, 4728, 6698, 10047, 13396, 20094, 26792, 40188

Step-4: Factors of 80385

List of positive integer factors of 80385 that divides 80376 without a remainder.

1, 3, 5, 15, 23, 69, 115, 233, 345, 699, 1165, 3495, 5359, 16077, 26795

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80376 and 80385. The biggest common factor number is the GCF number.
So the greatest common factor 80376 and 80385 is 3.

Also check out the Least Common Multiple of 80376 and 80385