What is the Greatest Common Factor of 40350 and 40359?

Greatest common factor (GCF) of 40350 and 40359 is 3.

GCF(40350,40359) = 3

We will now calculate the prime factors of 40350 and 40359, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40350 and 40359.

How to find the GCF of 40350 and 40359?

We will first find the prime factorization of 40350 and 40359. After we will calculate the factors of 40350 and 40359 and find the biggest common factor number .

Step-1: Prime Factorization of 40350

Prime factors of 40350 are 2, 3, 5, 269. Prime factorization of 40350 in exponential form is:

40350 = 2¹ × 3¹ × 5² × 269¹

Step-2: Prime Factorization of 40359

Prime factors of 40359 are 3, 11, 1223. Prime factorization of 40359 in exponential form is:

40359 = 3¹ × 11¹ × 1223¹

Step-3: Factors of 40350

List of positive integer factors of 40350 that divides 40350 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150, 269, 538, 807, 1345, 1614, 2690, 4035, 6725, 8070, 13450, 20175

Step-4: Factors of 40359

List of positive integer factors of 40359 that divides 40350 without a remainder.

1, 3, 11, 33, 1223, 3669, 13453

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40350 and 40359. The biggest common factor number is the GCF number.
So the greatest common factor 40350 and 40359 is 3.

Also check out the Least Common Multiple of 40350 and 40359