What is the Greatest Common Factor of 83470 and 83475?

Greatest common factor (GCF) of 83470 and 83475 is 5.

GCF(83470,83475) = 5

We will now calculate the prime factors of 83470 and 83475, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83470 and 83475.

How to find the GCF of 83470 and 83475?

We will first find the prime factorization of 83470 and 83475. After we will calculate the factors of 83470 and 83475 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 83475

Prime factors of 83475 are 3, 5, 7, 53. Prime factorization of 83475 in exponential form is:

83475 = 3² × 5² × 7¹ × 53¹

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 83475

List of positive integer factors of 83475 that divides 83470 without a remainder.

1, 3, 5, 7, 9, 15, 21, 25, 35, 45, 53, 63, 75, 105, 159, 175, 225, 265, 315, 371, 477, 525, 795, 1113, 1325, 1575, 1855, 2385, 3339, 3975, 5565, 9275, 11925, 16695, 27825

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83470 and 83475. The biggest common factor number is the GCF number.
So the greatest common factor 83470 and 83475 is 5.

Also check out the Least Common Multiple of 83470 and 83475