What is the Greatest Common Factor of 39270 and 39274?

Greatest common factor (GCF) of 39270 and 39274 is 2.

GCF(39270,39274) = 2

We will now calculate the prime factors of 39270 and 39274, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39270 and 39274.

How to find the GCF of 39270 and 39274?

We will first find the prime factorization of 39270 and 39274. After we will calculate the factors of 39270 and 39274 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 39274

Prime factors of 39274 are 2, 73, 269. Prime factorization of 39274 in exponential form is:

39274 = 2¹ × 73¹ × 269¹

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 39274

List of positive integer factors of 39274 that divides 39270 without a remainder.

1, 2, 73, 146, 269, 538, 19637

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39270 and 39274. The biggest common factor number is the GCF number.
So the greatest common factor 39270 and 39274 is 2.

Also check out the Least Common Multiple of 39270 and 39274