What is the Greatest Common Factor of 84954 and 84960?

Greatest common factor (GCF) of 84954 and 84960 is 6.

GCF(84954,84960) = 6

We will now calculate the prime factors of 84954 and 84960, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84954 and 84960.

How to find the GCF of 84954 and 84960?

We will first find the prime factorization of 84954 and 84960. After we will calculate the factors of 84954 and 84960 and find the biggest common factor number .

Step-1: Prime Factorization of 84954

Prime factors of 84954 are 2, 3, 14159. Prime factorization of 84954 in exponential form is:

84954 = 2¹ × 3¹ × 14159¹

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 84954

List of positive integer factors of 84954 that divides 84954 without a remainder.

1, 2, 3, 6, 14159, 28318, 42477

Step-4: Factors of 84960

List of positive integer factors of 84960 that divides 84954 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 84954 and 84960. The biggest common factor number is the GCF number.
So the greatest common factor 84954 and 84960 is 6.

Also check out the Least Common Multiple of 84954 and 84960