What is the Greatest Common Factor of 83370 and 83385?

Greatest common factor (GCF) of 83370 and 83385 is 15.

GCF(83370,83385) = 15

We will now calculate the prime factors of 83370 and 83385, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83370 and 83385.

How to find the GCF of 83370 and 83385?

We will first find the prime factorization of 83370 and 83385. After we will calculate the factors of 83370 and 83385 and find the biggest common factor number .

Step-1: Prime Factorization of 83370

Prime factors of 83370 are 2, 3, 5, 7, 397. Prime factorization of 83370 in exponential form is:

83370 = 2¹ × 3¹ × 5¹ × 7¹ × 397¹

Step-2: Prime Factorization of 83385

Prime factors of 83385 are 3, 5, 17, 109. Prime factorization of 83385 in exponential form is:

83385 = 3² × 5¹ × 17¹ × 109¹

Step-3: Factors of 83370

List of positive integer factors of 83370 that divides 83370 without a remainder.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210, 397, 794, 1191, 1985, 2382, 2779, 3970, 5558, 5955, 8337, 11910, 13895, 16674, 27790, 41685

Step-4: Factors of 83385

List of positive integer factors of 83385 that divides 83370 without a remainder.

1, 3, 5, 9, 15, 17, 45, 51, 85, 109, 153, 255, 327, 545, 765, 981, 1635, 1853, 4905, 5559, 9265, 16677, 27795

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83370 and 83385. The biggest common factor number is the GCF number.
So the greatest common factor 83370 and 83385 is 15.

Also check out the Least Common Multiple of 83370 and 83385