What is the Greatest Common Factor of 43225 and 43244?

Greatest common factor (GCF) of 43225 and 43244 is 19.

GCF(43225,43244) = 19

We will now calculate the prime factors of 43225 and 43244, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43225 and 43244.

How to find the GCF of 43225 and 43244?

We will first find the prime factorization of 43225 and 43244. After we will calculate the factors of 43225 and 43244 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 43244

Prime factors of 43244 are 2, 19, 569. Prime factorization of 43244 in exponential form is:

43244 = 2² × 19¹ × 569¹

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 43244

List of positive integer factors of 43244 that divides 43225 without a remainder.

1, 2, 4, 19, 38, 76, 569, 1138, 2276, 10811, 21622

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43225 and 43244. The biggest common factor number is the GCF number.
So the greatest common factor 43225 and 43244 is 19.

Also check out the Least Common Multiple of 43225 and 43244