What is the Greatest Common Factor of 86730 and 86744?

Greatest common factor (GCF) of 86730 and 86744 is 14.

GCF(86730,86744) = 14

We will now calculate the prime factors of 86730 and 86744, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86730 and 86744.

How to find the GCF of 86730 and 86744?

We will first find the prime factorization of 86730 and 86744. After we will calculate the factors of 86730 and 86744 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 86744

Prime factors of 86744 are 2, 7, 1549. Prime factorization of 86744 in exponential form is:

86744 = 2³ × 7¹ × 1549¹

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 86744

List of positive integer factors of 86744 that divides 86730 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 1549, 3098, 6196, 10843, 12392, 21686, 43372

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86730 and 86744. The biggest common factor number is the GCF number.
So the greatest common factor 86730 and 86744 is 14.

Also check out the Least Common Multiple of 86730 and 86744