What is the Greatest Common Factor of 84960 and 84971?

Greatest common factor (GCF) of 84960 and 84971 is 1.

GCF(84960,84971) = 1

We will now calculate the prime factors of 84960 and 84971, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84960 and 84971.

How to find the GCF of 84960 and 84971?

We will first find the prime factorization of 84960 and 84971. After we will calculate the factors of 84960 and 84971 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 84971

Prime factors of 84971 are 31, 2741. Prime factorization of 84971 in exponential form is:

84971 = 31¹ × 2741¹

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 84971

List of positive integer factors of 84971 that divides 84960 without a remainder.

1, 31, 2741

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84960 and 84971. The biggest common factor number is the GCF number.
So the greatest common factor 84960 and 84971 is 1.

Also check out the Least Common Multiple of 84960 and 84971