What is the Greatest Common Factor of 84645 and 84660?

Greatest common factor (GCF) of 84645 and 84660 is 15.

GCF(84645,84660) = 15

We will now calculate the prime factors of 84645 and 84660, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84645 and 84660.

How to find the GCF of 84645 and 84660?

We will first find the prime factorization of 84645 and 84660. After we will calculate the factors of 84645 and 84660 and find the biggest common factor number .

Step-1: Prime Factorization of 84645

Prime factors of 84645 are 3, 5, 11, 19. Prime factorization of 84645 in exponential form is:

84645 = 3⁴ × 5¹ × 11¹ × 19¹

Step-2: Prime Factorization of 84660

Prime factors of 84660 are 2, 3, 5, 17, 83. Prime factorization of 84660 in exponential form is:

84660 = 2² × 3¹ × 5¹ × 17¹ × 83¹

Step-3: Factors of 84645

List of positive integer factors of 84645 that divides 84645 without a remainder.

1, 3, 5, 9, 11, 15, 19, 27, 33, 45, 55, 57, 81, 95, 99, 135, 165, 171, 209, 285, 297, 405, 495, 513, 627, 855, 891, 1045, 1485, 1539, 1881, 2565, 3135, 4455, 5643, 7695, 9405, 16929, 28215

Step-4: Factors of 84660

List of positive integer factors of 84660 that divides 84645 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 17, 20, 30, 34, 51, 60, 68, 83, 85, 102, 166, 170, 204, 249, 255, 332, 340, 415, 498, 510, 830, 996, 1020, 1245, 1411, 1660, 2490, 2822, 4233, 4980, 5644, 7055, 8466, 14110, 16932, 21165, 28220, 42330

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84645 and 84660. The biggest common factor number is the GCF number.
So the greatest common factor 84645 and 84660 is 15.

Also check out the Least Common Multiple of 84645 and 84660