What is the Greatest Common Factor of 59454 and 59463?

Greatest common factor (GCF) of 59454 and 59463 is 9.

GCF(59454,59463) = 9

We will now calculate the prime factors of 59454 and 59463, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59454 and 59463.

How to find the GCF of 59454 and 59463?

We will first find the prime factorization of 59454 and 59463. After we will calculate the factors of 59454 and 59463 and find the biggest common factor number .

Step-1: Prime Factorization of 59454

Prime factors of 59454 are 2, 3, 367. Prime factorization of 59454 in exponential form is:

59454 = 2¹ × 3⁴ × 367¹

Step-2: Prime Factorization of 59463

Prime factors of 59463 are 3, 6607. Prime factorization of 59463 in exponential form is:

59463 = 3² × 6607¹

Step-3: Factors of 59454

List of positive integer factors of 59454 that divides 59454 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 367, 734, 1101, 2202, 3303, 6606, 9909, 19818, 29727

Step-4: Factors of 59463

List of positive integer factors of 59463 that divides 59454 without a remainder.

1, 3, 9, 6607, 19821

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59454 and 59463. The biggest common factor number is the GCF number.
So the greatest common factor 59454 and 59463 is 9.

Also check out the Least Common Multiple of 59454 and 59463