What is the Greatest Common Factor of 69840 and 69856?

Greatest common factor (GCF) of 69840 and 69856 is 16.

GCF(69840,69856) = 16

We will now calculate the prime factors of 69840 and 69856, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69840 and 69856.

How to find the GCF of 69840 and 69856?

We will first find the prime factorization of 69840 and 69856. After we will calculate the factors of 69840 and 69856 and find the biggest common factor number .

Step-1: Prime Factorization of 69840

Prime factors of 69840 are 2, 3, 5, 97. Prime factorization of 69840 in exponential form is:

69840 = 2⁴ × 3² × 5¹ × 97¹

Step-2: Prime Factorization of 69856

Prime factors of 69856 are 2, 37, 59. Prime factorization of 69856 in exponential form is:

69856 = 2⁵ × 37¹ × 59¹

Step-3: Factors of 69840

List of positive integer factors of 69840 that divides 69840 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 97, 120, 144, 180, 194, 240, 291, 360, 388, 485, 582, 720, 776, 873, 970, 1164, 1455, 1552, 1746, 1940, 2328, 2910, 3492, 3880, 4365, 4656, 5820, 6984, 7760, 8730, 11640, 13968, 17460, 23280, 34920

Step-4: Factors of 69856

List of positive integer factors of 69856 that divides 69840 without a remainder.

1, 2, 4, 8, 16, 32, 37, 59, 74, 118, 148, 236, 296, 472, 592, 944, 1184, 1888, 2183, 4366, 8732, 17464, 34928

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69840 and 69856. The biggest common factor number is the GCF number.
So the greatest common factor 69840 and 69856 is 16.

Also check out the Least Common Multiple of 69840 and 69856