What is the Greatest Common Factor of 86931 and 86940?

Greatest common factor (GCF) of 86931 and 86940 is 9.

GCF(86931,86940) = 9

We will now calculate the prime factors of 86931 and 86940, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86931 and 86940.

How to find the GCF of 86931 and 86940?

We will first find the prime factorization of 86931 and 86940. After we will calculate the factors of 86931 and 86940 and find the biggest common factor number .

Step-1: Prime Factorization of 86931

Prime factors of 86931 are 3, 13, 743. Prime factorization of 86931 in exponential form is:

86931 = 3² × 13¹ × 743¹

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 86931

List of positive integer factors of 86931 that divides 86931 without a remainder.

1, 3, 9, 13, 39, 117, 743, 2229, 6687, 9659, 28977

Step-4: Factors of 86940

List of positive integer factors of 86940 that divides 86931 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 86931 and 86940. The biggest common factor number is the GCF number.
So the greatest common factor 86931 and 86940 is 9.

Also check out the Least Common Multiple of 86931 and 86940