What is the Greatest Common Factor of 84960 and 84970?

Greatest common factor (GCF) of 84960 and 84970 is 10.

GCF(84960,84970) = 10

We will now calculate the prime factors of 84960 and 84970, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84960 and 84970.

How to find the GCF of 84960 and 84970?

We will first find the prime factorization of 84960 and 84970. After we will calculate the factors of 84960 and 84970 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 84970

Prime factors of 84970 are 2, 5, 29, 293. Prime factorization of 84970 in exponential form is:

84970 = 2¹ × 5¹ × 29¹ × 293¹

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 84970

List of positive integer factors of 84970 that divides 84960 without a remainder.

1, 2, 5, 10, 29, 58, 145, 290, 293, 586, 1465, 2930, 8497, 16994, 42485

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84960 and 84970. The biggest common factor number is the GCF number.
So the greatest common factor 84960 and 84970 is 10.

Also check out the Least Common Multiple of 84960 and 84970