What is the Greatest Common Factor of 43365 and 43372?

Greatest common factor (GCF) of 43365 and 43372 is 7.

GCF(43365,43372) = 7

We will now calculate the prime factors of 43365 and 43372, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43365 and 43372.

How to find the GCF of 43365 and 43372?

We will first find the prime factorization of 43365 and 43372. After we will calculate the factors of 43365 and 43372 and find the biggest common factor number .

Step-1: Prime Factorization of 43365

Prime factors of 43365 are 3, 5, 7, 59. Prime factorization of 43365 in exponential form is:

43365 = 3¹ × 5¹ × 7² × 59¹

Step-2: Prime Factorization of 43372

Prime factors of 43372 are 2, 7, 1549. Prime factorization of 43372 in exponential form is:

43372 = 2² × 7¹ × 1549¹

Step-3: Factors of 43365

List of positive integer factors of 43365 that divides 43365 without a remainder.

1, 3, 5, 7, 15, 21, 35, 49, 59, 105, 147, 177, 245, 295, 413, 735, 885, 1239, 2065, 2891, 6195, 8673, 14455

Step-4: Factors of 43372

List of positive integer factors of 43372 that divides 43365 without a remainder.

1, 2, 4, 7, 14, 28, 1549, 3098, 6196, 10843, 21686

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43365 and 43372. The biggest common factor number is the GCF number.
So the greatest common factor 43365 and 43372 is 7.

Also check out the Least Common Multiple of 43365 and 43372