What is the Greatest Common Factor of 43365 and 43379?

Greatest common factor (GCF) of 43365 and 43379 is 7.

GCF(43365,43379) = 7

We will now calculate the prime factors of 43365 and 43379, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43365 and 43379.

How to find the GCF of 43365 and 43379?

We will first find the prime factorization of 43365 and 43379. After we will calculate the factors of 43365 and 43379 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 43379

Prime factors of 43379 are 7, 6197. Prime factorization of 43379 in exponential form is:

43379 = 7¹ × 6197¹

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 43379

List of positive integer factors of 43379 that divides 43365 without a remainder.

1, 7, 6197

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43365 and 43379. The biggest common factor number is the GCF number.
So the greatest common factor 43365 and 43379 is 7.

Also check out the Least Common Multiple of 43365 and 43379