What is the Greatest Common Factor of 86730 and 86748?

Greatest common factor (GCF) of 86730 and 86748 is 6.

GCF(86730,86748) = 6

We will now calculate the prime factors of 86730 and 86748, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86730 and 86748.

How to find the GCF of 86730 and 86748?

We will first find the prime factorization of 86730 and 86748. After we will calculate the factors of 86730 and 86748 and find the biggest common factor number .

Step-1: Prime Factorization of 86730

Prime factors of 86730 are 2, 3, 5, 7, 59. Prime factorization of 86730 in exponential form is:

86730 = 2¹ × 3¹ × 5¹ × 7² × 59¹

Step-2: Prime Factorization of 86748

Prime factors of 86748 are 2, 3, 7229. Prime factorization of 86748 in exponential form is:

86748 = 2² × 3¹ × 7229¹

Step-3: Factors of 86730

List of positive integer factors of 86730 that divides 86730 without a remainder.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 49, 59, 70, 98, 105, 118, 147, 177, 210, 245, 294, 295, 354, 413, 490, 590, 735, 826, 885, 1239, 1470, 1770, 2065, 2478, 2891, 4130, 5782, 6195, 8673, 12390, 14455, 17346, 28910, 43365

Step-4: Factors of 86748

List of positive integer factors of 86748 that divides 86730 without a remainder.

1, 2, 3, 4, 6, 12, 7229, 14458, 21687, 28916, 43374

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86730 and 86748. The biggest common factor number is the GCF number.
So the greatest common factor 86730 and 86748 is 6.

Also check out the Least Common Multiple of 86730 and 86748