What is the Greatest Common Factor of 83470 and 83486?

Greatest common factor (GCF) of 83470 and 83486 is 2.

GCF(83470,83486) = 2

We will now calculate the prime factors of 83470 and 83486, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83470 and 83486.

How to find the GCF of 83470 and 83486?

We will first find the prime factorization of 83470 and 83486. After we will calculate the factors of 83470 and 83486 and find the biggest common factor number .

Step-1: Prime Factorization of 83470

Prime factors of 83470 are 2, 5, 17, 491. Prime factorization of 83470 in exponential form is:

83470 = 2¹ × 5¹ × 17¹ × 491¹

Step-2: 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-3: Factors of 83470

List of positive integer factors of 83470 that divides 83470 without a remainder.

1, 2, 5, 10, 17, 34, 85, 170, 491, 982, 2455, 4910, 8347, 16694, 41735

Step-4: Factors of 83486

List of positive integer factors of 83486 that divides 83470 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83470 and 83486. The biggest common factor number is the GCF number.
So the greatest common factor 83470 and 83486 is 2.

Also check out the Least Common Multiple of 83470 and 83486