What is the Greatest Common Factor of 86760 and 86774?

Greatest common factor (GCF) of 86760 and 86774 is 2.

GCF(86760,86774) = 2

We will now calculate the prime factors of 86760 and 86774, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86760 and 86774.

How to find the GCF of 86760 and 86774?

We will first find the prime factorization of 86760 and 86774. After we will calculate the factors of 86760 and 86774 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 86774

Prime factors of 86774 are 2, 43, 1009. Prime factorization of 86774 in exponential form is:

86774 = 2¹ × 43¹ × 1009¹

Step-3: Factors of 86760

List of positive integer factors of 86760 that divides 86760 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

Step-4: Factors of 86774

List of positive integer factors of 86774 that divides 86760 without a remainder.

1, 2, 43, 86, 1009, 2018, 43387

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86760 and 86774. The biggest common factor number is the GCF number.
So the greatest common factor 86760 and 86774 is 2.

Also check out the Least Common Multiple of 86760 and 86774