What is the Greatest Common Factor of 84945 and 84960?

Greatest common factor (GCF) of 84945 and 84960 is 15.

GCF(84945,84960) = 15

We will now calculate the prime factors of 84945 and 84960, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84945 and 84960.

How to find the GCF of 84945 and 84960?

We will first find the prime factorization of 84945 and 84960. After we will calculate the factors of 84945 and 84960 and find the biggest common factor number .

Step-1: Prime Factorization of 84945

Prime factors of 84945 are 3, 5, 7, 809. Prime factorization of 84945 in exponential form is:

84945 = 3¹ × 5¹ × 7¹ × 809¹

Step-2: Prime Factorization of 84960

Prime factors of 84960 are 2, 3, 5, 59. Prime factorization of 84960 in exponential form is:

84960 = 2⁵ × 3² × 5¹ × 59¹

Step-3: Factors of 84945

List of positive integer factors of 84945 that divides 84945 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105, 809, 2427, 4045, 5663, 12135, 16989, 28315

Step-4: Factors of 84960

List of positive integer factors of 84960 that divides 84945 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 32, 36, 40, 45, 48, 59, 60, 72, 80, 90, 96, 118, 120, 144, 160, 177, 180, 236, 240, 288, 295, 354, 360, 472, 480, 531, 590, 708, 720, 885, 944, 1062, 1180, 1416, 1440, 1770, 1888, 2124, 2360, 2655, 2832, 3540, 4248, 4720, 5310, 5664, 7080, 8496, 9440, 10620, 14160, 16992, 21240, 28320, 42480

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84945 and 84960. The biggest common factor number is the GCF number.
So the greatest common factor 84945 and 84960 is 15.

Also check out the Least Common Multiple of 84945 and 84960