What is the Greatest Common Factor of 43225 and 43240?

Greatest common factor (GCF) of 43225 and 43240 is 5.

GCF(43225,43240) = 5

We will now calculate the prime factors of 43225 and 43240, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43225 and 43240.

How to find the GCF of 43225 and 43240?

We will first find the prime factorization of 43225 and 43240. After we will calculate the factors of 43225 and 43240 and find the biggest common factor number .

Step-1: Prime Factorization of 43225

Prime factors of 43225 are 5, 7, 13, 19. Prime factorization of 43225 in exponential form is:

43225 = 5² × 7¹ × 13¹ × 19¹

Step-2: Prime Factorization of 43240

Prime factors of 43240 are 2, 5, 23, 47. Prime factorization of 43240 in exponential form is:

43240 = 2³ × 5¹ × 23¹ × 47¹

Step-3: Factors of 43225

List of positive integer factors of 43225 that divides 43225 without a remainder.

1, 5, 7, 13, 19, 25, 35, 65, 91, 95, 133, 175, 247, 325, 455, 475, 665, 1235, 1729, 2275, 3325, 6175, 8645

Step-4: Factors of 43240

List of positive integer factors of 43240 that divides 43225 without a remainder.

1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 47, 92, 94, 115, 184, 188, 230, 235, 376, 460, 470, 920, 940, 1081, 1880, 2162, 4324, 5405, 8648, 10810, 21620

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43225 and 43240. The biggest common factor number is the GCF number.
So the greatest common factor 43225 and 43240 is 5.

Also check out the Least Common Multiple of 43225 and 43240