What is the Greatest Common Factor of 83356 and 83370?

Greatest common factor (GCF) of 83356 and 83370 is 14.

GCF(83356,83370) = 14

We will now calculate the prime factors of 83356 and 83370, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83356 and 83370.

How to find the GCF of 83356 and 83370?

We will first find the prime factorization of 83356 and 83370. After we will calculate the factors of 83356 and 83370 and find the biggest common factor number .

Step-1: Prime Factorization of 83356

Prime factors of 83356 are 2, 7, 13, 229. Prime factorization of 83356 in exponential form is:

83356 = 2² × 7¹ × 13¹ × 229¹

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 83356

List of positive integer factors of 83356 that divides 83356 without a remainder.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 229, 364, 458, 916, 1603, 2977, 3206, 5954, 6412, 11908, 20839, 41678

Step-4: Factors of 83370

List of positive integer factors of 83370 that divides 83356 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 83356 and 83370. The biggest common factor number is the GCF number.
So the greatest common factor 83356 and 83370 is 14.

Also check out the Least Common Multiple of 83356 and 83370