What is the Greatest Common Factor of 39259 and 39270?

Greatest common factor (GCF) of 39259 and 39270 is 11.

GCF(39259,39270) = 11

We will now calculate the prime factors of 39259 and 39270, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39259 and 39270.

How to find the GCF of 39259 and 39270?

We will first find the prime factorization of 39259 and 39270. After we will calculate the factors of 39259 and 39270 and find the biggest common factor number .

Step-1: Prime Factorization of 39259

Prime factors of 39259 are 11, 43, 83. Prime factorization of 39259 in exponential form is:

39259 = 11¹ × 43¹ × 83¹

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 39259

List of positive integer factors of 39259 that divides 39259 without a remainder.

1, 11, 43, 83, 473, 913, 3569

Step-4: Factors of 39270

List of positive integer factors of 39270 that divides 39259 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 39259 and 39270. The biggest common factor number is the GCF number.
So the greatest common factor 39259 and 39270 is 11.

Also check out the Least Common Multiple of 39259 and 39270