What is the Greatest Common Factor of 43358 and 43377?

Greatest common factor (GCF) of 43358 and 43377 is 19.

GCF(43358,43377) = 19

We will now calculate the prime factors of 43358 and 43377, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43358 and 43377.

How to find the GCF of 43358 and 43377?

We will first find the prime factorization of 43358 and 43377. After we will calculate the factors of 43358 and 43377 and find the biggest common factor number .

Step-1: Prime Factorization of 43358

Prime factors of 43358 are 2, 7, 19, 163. Prime factorization of 43358 in exponential form is:

43358 = 2¹ × 7¹ × 19¹ × 163¹

Step-2: Prime Factorization of 43377

Prime factors of 43377 are 3, 19, 761. Prime factorization of 43377 in exponential form is:

43377 = 3¹ × 19¹ × 761¹

Step-3: Factors of 43358

List of positive integer factors of 43358 that divides 43358 without a remainder.

1, 2, 7, 14, 19, 38, 133, 163, 266, 326, 1141, 2282, 3097, 6194, 21679

Step-4: Factors of 43377

List of positive integer factors of 43377 that divides 43358 without a remainder.

1, 3, 19, 57, 761, 2283, 14459

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43358 and 43377. The biggest common factor number is the GCF number.
So the greatest common factor 43358 and 43377 is 19.

Also check out the Least Common Multiple of 43358 and 43377