What is the Greatest Common Factor of 43270 and 43290?

Greatest common factor (GCF) of 43270 and 43290 is 10.

GCF(43270,43290) = 10

We will now calculate the prime factors of 43270 and 43290, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43270 and 43290.

How to find the GCF of 43270 and 43290?

We will first find the prime factorization of 43270 and 43290. After we will calculate the factors of 43270 and 43290 and find the biggest common factor number .

Step-1: Prime Factorization of 43270

Prime factors of 43270 are 2, 5, 4327. Prime factorization of 43270 in exponential form is:

43270 = 2¹ × 5¹ × 4327¹

Step-2: Prime Factorization of 43290

Prime factors of 43290 are 2, 3, 5, 13, 37. Prime factorization of 43290 in exponential form is:

43290 = 2¹ × 3² × 5¹ × 13¹ × 37¹

Step-3: Factors of 43270

List of positive integer factors of 43270 that divides 43270 without a remainder.

1, 2, 5, 10, 4327, 8654, 21635

Step-4: Factors of 43290

List of positive integer factors of 43290 that divides 43270 without a remainder.

1, 2, 3, 5, 6, 9, 10, 13, 15, 18, 26, 30, 37, 39, 45, 65, 74, 78, 90, 111, 117, 130, 185, 195, 222, 234, 333, 370, 390, 481, 555, 585, 666, 962, 1110, 1170, 1443, 1665, 2405, 2886, 3330, 4329, 4810, 7215, 8658, 14430, 21645

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43270 and 43290. The biggest common factor number is the GCF number.
So the greatest common factor 43270 and 43290 is 10.

Also check out the Least Common Multiple of 43270 and 43290