What is the Greatest Common Factor of 86940 and 86958?

Greatest common factor (GCF) of 86940 and 86958 is 18.

GCF(86940,86958) = 18

We will now calculate the prime factors of 86940 and 86958, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86940 and 86958.

How to find the GCF of 86940 and 86958?

We will first find the prime factorization of 86940 and 86958. After we will calculate the factors of 86940 and 86958 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 86958

Prime factors of 86958 are 2, 3, 4831. Prime factorization of 86958 in exponential form is:

86958 = 2¹ × 3² × 4831¹

Step-3: Factors of 86940

List of positive integer factors of 86940 that divides 86940 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

Step-4: Factors of 86958

List of positive integer factors of 86958 that divides 86940 without a remainder.

1, 2, 3, 6, 9, 18, 4831, 9662, 14493, 28986, 43479

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86940 and 86958. The biggest common factor number is the GCF number.
So the greatest common factor 86940 and 86958 is 18.

Also check out the Least Common Multiple of 86940 and 86958