What is the Greatest Common Factor of 83486 and 83499?

Greatest common factor (GCF) of 83486 and 83499 is 13.

GCF(83486,83499) = 13

We will now calculate the prime factors of 83486 and 83499, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83486 and 83499.

How to find the GCF of 83486 and 83499?

We will first find the prime factorization of 83486 and 83499. After we will calculate the factors of 83486 and 83499 and find the biggest common factor number .

Step-1: Prime Factorization of 83486

Prime factors of 83486 are 2, 13, 19. Prime factorization of 83486 in exponential form is:

83486 = 2¹ × 13³ × 19¹

Step-2: Prime Factorization of 83499

Prime factors of 83499 are 3, 13, 2141. Prime factorization of 83499 in exponential form is:

83499 = 3¹ × 13¹ × 2141¹

Step-3: Factors of 83486

List of positive integer factors of 83486 that divides 83486 without a remainder.

1, 2, 13, 19, 26, 38, 169, 247, 338, 494, 2197, 3211, 4394, 6422, 41743

Step-4: Factors of 83499

List of positive integer factors of 83499 that divides 83486 without a remainder.

1, 3, 13, 39, 2141, 6423, 27833

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83486 and 83499. The biggest common factor number is the GCF number.
So the greatest common factor 83486 and 83499 is 13.

Also check out the Least Common Multiple of 83486 and 83499