What is the Greatest Common Factor of 84946 and 84960?

Greatest common factor (GCF) of 84946 and 84960 is 2.

GCF(84946,84960) = 2

We will now calculate the prime factors of 84946 and 84960, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84946 and 84960.

How to find the GCF of 84946 and 84960?

We will first find the prime factorization of 84946 and 84960. After we will calculate the factors of 84946 and 84960 and find the biggest common factor number .

Step-1: Prime Factorization of 84946

Prime factors of 84946 are 2, 42473. Prime factorization of 84946 in exponential form is:

84946 = 2¹ × 42473¹

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 84946

List of positive integer factors of 84946 that divides 84946 without a remainder.

1, 2, 42473

Step-4: Factors of 84960

List of positive integer factors of 84960 that divides 84946 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 84946 and 84960. The biggest common factor number is the GCF number.
So the greatest common factor 84946 and 84960 is 2.

Also check out the Least Common Multiple of 84946 and 84960