What is the Greatest Common Factor of 84960 and 84978?

Greatest common factor (GCF) of 84960 and 84978 is 18.

GCF(84960,84978) = 18

We will now calculate the prime factors of 84960 and 84978, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84960 and 84978.

How to find the GCF of 84960 and 84978?

We will first find the prime factorization of 84960 and 84978. After we will calculate the factors of 84960 and 84978 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 84978

Prime factors of 84978 are 2, 3, 4721. Prime factorization of 84978 in exponential form is:

84978 = 2¹ × 3² × 4721¹

Step-3: Factors of 84960

List of positive integer factors of 84960 that divides 84960 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

Step-4: Factors of 84978

List of positive integer factors of 84978 that divides 84960 without a remainder.

1, 2, 3, 6, 9, 18, 4721, 9442, 14163, 28326, 42489

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84960 and 84978. The biggest common factor number is the GCF number.
So the greatest common factor 84960 and 84978 is 18.

Also check out the Least Common Multiple of 84960 and 84978