What is the Greatest Common Factor of 86742 and 86760?

Greatest common factor (GCF) of 86742 and 86760 is 18.

GCF(86742,86760) = 18

We will now calculate the prime factors of 86742 and 86760, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86742 and 86760.

How to find the GCF of 86742 and 86760?

We will first find the prime factorization of 86742 and 86760. After we will calculate the factors of 86742 and 86760 and find the biggest common factor number .

Step-1: Prime Factorization of 86742

Prime factors of 86742 are 2, 3, 61, 79. Prime factorization of 86742 in exponential form is:

86742 = 2¹ × 3² × 61¹ × 79¹

Step-2: Prime Factorization of 86760

Prime factors of 86760 are 2, 3, 5, 241. Prime factorization of 86760 in exponential form is:

86760 = 2³ × 3² × 5¹ × 241¹

Step-3: Factors of 86742

List of positive integer factors of 86742 that divides 86742 without a remainder.

1, 2, 3, 6, 9, 18, 61, 79, 122, 158, 183, 237, 366, 474, 549, 711, 1098, 1422, 4819, 9638, 14457, 28914, 43371

Step-4: Factors of 86760

List of positive integer factors of 86760 that divides 86742 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 241, 360, 482, 723, 964, 1205, 1446, 1928, 2169, 2410, 2892, 3615, 4338, 4820, 5784, 7230, 8676, 9640, 10845, 14460, 17352, 21690, 28920, 43380

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86742 and 86760. The biggest common factor number is the GCF number.
So the greatest common factor 86742 and 86760 is 18.

Also check out the Least Common Multiple of 86742 and 86760