What is the Greatest Common Factor of 36443 and 36454?

Greatest common factor (GCF) of 36443 and 36454 is 11.

GCF(36443,36454) = 11

We will now calculate the prime factors of 36443 and 36454, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36443 and 36454.

How to find the GCF of 36443 and 36454?

We will first find the prime factorization of 36443 and 36454. After we will calculate the factors of 36443 and 36454 and find the biggest common factor number .

Step-1: Prime Factorization of 36443

Prime factors of 36443 are 11, 3313. Prime factorization of 36443 in exponential form is:

36443 = 11¹ × 3313¹

Step-2: Prime Factorization of 36454

Prime factors of 36454 are 2, 11, 1657. Prime factorization of 36454 in exponential form is:

36454 = 2¹ × 11¹ × 1657¹

Step-3: Factors of 36443

List of positive integer factors of 36443 that divides 36443 without a remainder.

1, 11, 3313

Step-4: Factors of 36454

List of positive integer factors of 36454 that divides 36443 without a remainder.

1, 2, 11, 22, 1657, 3314, 18227

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36443 and 36454. The biggest common factor number is the GCF number.
So the greatest common factor 36443 and 36454 is 11.

Also check out the Least Common Multiple of 36443 and 36454