What is the Greatest Common Factor of 39256 and 39270?

Greatest common factor (GCF) of 39256 and 39270 is 14.

GCF(39256,39270) = 14

We will now calculate the prime factors of 39256 and 39270, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39256 and 39270.

How to find the GCF of 39256 and 39270?

We will first find the prime factorization of 39256 and 39270. After we will calculate the factors of 39256 and 39270 and find the biggest common factor number .

Step-1: Prime Factorization of 39256

Prime factors of 39256 are 2, 7, 701. Prime factorization of 39256 in exponential form is:

39256 = 2³ × 7¹ × 701¹

Step-2: Prime Factorization of 39270

Prime factors of 39270 are 2, 3, 5, 7, 11, 17. Prime factorization of 39270 in exponential form is:

39270 = 2¹ × 3¹ × 5¹ × 7¹ × 11¹ × 17¹

Step-3: Factors of 39256

List of positive integer factors of 39256 that divides 39256 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 701, 1402, 2804, 4907, 5608, 9814, 19628

Step-4: Factors of 39270

List of positive integer factors of 39270 that divides 39256 without a remainder.

1, 2, 3, 5, 6, 7, 10, 11, 14, 15, 17, 21, 22, 30, 33, 34, 35, 42, 51, 55, 66, 70, 77, 85, 102, 105, 110, 119, 154, 165, 170, 187, 210, 231, 238, 255, 330, 357, 374, 385, 462, 510, 561, 595, 714, 770, 935, 1122, 1155, 1190, 1309, 1785, 1870, 2310, 2618, 2805, 3570, 3927, 5610, 6545, 7854, 13090, 19635

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39256 and 39270. The biggest common factor number is the GCF number.
So the greatest common factor 39256 and 39270 is 14.

Also check out the Least Common Multiple of 39256 and 39270