What is the Greatest Common Factor of 83475 and 83480?

Greatest common factor (GCF) of 83475 and 83480 is 5.

GCF(83475,83480) = 5

We will now calculate the prime factors of 83475 and 83480, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83475 and 83480.

How to find the GCF of 83475 and 83480?

We will first find the prime factorization of 83475 and 83480. After we will calculate the factors of 83475 and 83480 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 83480

Prime factors of 83480 are 2, 5, 2087. Prime factorization of 83480 in exponential form is:

83480 = 2³ × 5¹ × 2087¹

Step-3: Factors of 83475

List of positive integer factors of 83475 that divides 83475 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

Step-4: Factors of 83480

List of positive integer factors of 83480 that divides 83475 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 2087, 4174, 8348, 10435, 16696, 20870, 41740

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83475 and 83480. The biggest common factor number is the GCF number.
So the greatest common factor 83475 and 83480 is 5.

Also check out the Least Common Multiple of 83475 and 83480