What is the Greatest Common Factor of 66423 and 66437?

Greatest common factor (GCF) of 66423 and 66437 is 7.

GCF(66423,66437) = 7

We will now calculate the prime factors of 66423 and 66437, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66423 and 66437.

How to find the GCF of 66423 and 66437?

We will first find the prime factorization of 66423 and 66437. After we will calculate the factors of 66423 and 66437 and find the biggest common factor number .

Step-1: Prime Factorization of 66423

Prime factors of 66423 are 3, 7, 3163. Prime factorization of 66423 in exponential form is:

66423 = 3¹ × 7¹ × 3163¹

Step-2: Prime Factorization of 66437

Prime factors of 66437 are 7, 9491. Prime factorization of 66437 in exponential form is:

66437 = 7¹ × 9491¹

Step-3: Factors of 66423

List of positive integer factors of 66423 that divides 66423 without a remainder.

1, 3, 7, 21, 3163, 9489, 22141

Step-4: Factors of 66437

List of positive integer factors of 66437 that divides 66423 without a remainder.

1, 7, 9491

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66423 and 66437. The biggest common factor number is the GCF number.
So the greatest common factor 66423 and 66437 is 7.

Also check out the Least Common Multiple of 66423 and 66437