What is the Greatest Common Factor of 86928 and 86940?

Greatest common factor (GCF) of 86928 and 86940 is 12.

GCF(86928,86940) = 12

We will now calculate the prime factors of 86928 and 86940, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86928 and 86940.

How to find the GCF of 86928 and 86940?

We will first find the prime factorization of 86928 and 86940. After we will calculate the factors of 86928 and 86940 and find the biggest common factor number .

Step-1: Prime Factorization of 86928

Prime factors of 86928 are 2, 3, 1811. Prime factorization of 86928 in exponential form is:

86928 = 2⁴ × 3¹ × 1811¹

Step-2: Prime Factorization of 86940

Prime factors of 86940 are 2, 3, 5, 7, 23. Prime factorization of 86940 in exponential form is:

86940 = 2² × 3³ × 5¹ × 7¹ × 23¹

Step-3: Factors of 86928

List of positive integer factors of 86928 that divides 86928 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 1811, 3622, 5433, 7244, 10866, 14488, 21732, 28976, 43464

Step-4: Factors of 86940

List of positive integer factors of 86940 that divides 86928 without a remainder.

1, 2, 3, 4, 5, 6, 7, 9, 10, 12, 14, 15, 18, 20, 21, 23, 27, 28, 30, 35, 36, 42, 45, 46, 54, 60, 63, 69, 70, 84, 90, 92, 105, 108, 115, 126, 135, 138, 140, 161, 180, 189, 207, 210, 230, 252, 270, 276, 315, 322, 345, 378, 414, 420, 460, 483, 540, 621, 630, 644, 690, 756, 805, 828, 945, 966, 1035, 1242, 1260, 1380, 1449, 1610, 1890, 1932, 2070, 2415, 2484, 2898, 3105, 3220, 3780, 4140, 4347, 4830, 5796, 6210, 7245, 8694, 9660, 12420, 14490, 17388, 21735, 28980, 43470

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86928 and 86940. The biggest common factor number is the GCF number.
So the greatest common factor 86928 and 86940 is 12.

Also check out the Least Common Multiple of 86928 and 86940