What is the Greatest Common Factor of 83355 and 83370?

Greatest common factor (GCF) of 83355 and 83370 is 15.

GCF(83355,83370) = 15

We will now calculate the prime factors of 83355 and 83370, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83355 and 83370.

How to find the GCF of 83355 and 83370?

We will first find the prime factorization of 83355 and 83370. After we will calculate the factors of 83355 and 83370 and find the biggest common factor number .

Step-1: Prime Factorization of 83355

Prime factors of 83355 are 3, 5, 5557. Prime factorization of 83355 in exponential form is:

83355 = 3¹ × 5¹ × 5557¹

Step-2: 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-3: Factors of 83355

List of positive integer factors of 83355 that divides 83355 without a remainder.

1, 3, 5, 15, 5557, 16671, 27785

Step-4: Factors of 83370

List of positive integer factors of 83370 that divides 83355 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83355 and 83370. The biggest common factor number is the GCF number.
So the greatest common factor 83355 and 83370 is 15.

Also check out the Least Common Multiple of 83355 and 83370