What is the Greatest Common Factor of 39270 and 39280?

Greatest common factor (GCF) of 39270 and 39280 is 10.

GCF(39270,39280) = 10

We will now calculate the prime factors of 39270 and 39280, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39270 and 39280.

How to find the GCF of 39270 and 39280?

We will first find the prime factorization of 39270 and 39280. After we will calculate the factors of 39270 and 39280 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 39280

Prime factors of 39280 are 2, 5, 491. Prime factorization of 39280 in exponential form is:

39280 = 2⁴ × 5¹ × 491¹

Step-3: Factors of 39270

List of positive integer factors of 39270 that divides 39270 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

Step-4: Factors of 39280

List of positive integer factors of 39280 that divides 39270 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 491, 982, 1964, 2455, 3928, 4910, 7856, 9820, 19640

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39270 and 39280. The biggest common factor number is the GCF number.
So the greatest common factor 39270 and 39280 is 10.

Also check out the Least Common Multiple of 39270 and 39280