What is the Greatest Common Factor of 86940 and 86960?

Greatest common factor (GCF) of 86940 and 86960 is 20.

GCF(86940,86960) = 20

We will now calculate the prime factors of 86940 and 86960, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86940 and 86960.

How to find the GCF of 86940 and 86960?

We will first find the prime factorization of 86940 and 86960. After we will calculate the factors of 86940 and 86960 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 86960

Prime factors of 86960 are 2, 5, 1087. Prime factorization of 86960 in exponential form is:

86960 = 2⁴ × 5¹ × 1087¹

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 86960

List of positive integer factors of 86960 that divides 86940 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 1087, 2174, 4348, 5435, 8696, 10870, 17392, 21740, 43480

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86940 and 86960. The biggest common factor number is the GCF number.
So the greatest common factor 86940 and 86960 is 20.

Also check out the Least Common Multiple of 86940 and 86960