What is the Greatest Common Factor of 86730 and 86750?

Greatest common factor (GCF) of 86730 and 86750 is 10.

GCF(86730,86750) = 10

We will now calculate the prime factors of 86730 and 86750, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86730 and 86750.

How to find the GCF of 86730 and 86750?

We will first find the prime factorization of 86730 and 86750. After we will calculate the factors of 86730 and 86750 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 86750

Prime factors of 86750 are 2, 5, 347. Prime factorization of 86750 in exponential form is:

86750 = 2¹ × 5³ × 347¹

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 86750

List of positive integer factors of 86750 that divides 86730 without a remainder.

1, 2, 5, 10, 25, 50, 125, 250, 347, 694, 1735, 3470, 8675, 17350, 43375

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86730 and 86750. The biggest common factor number is the GCF number.
So the greatest common factor 86730 and 86750 is 10.

Also check out the Least Common Multiple of 86730 and 86750