What is the Greatest Common Factor of 66473 and 66484?

Greatest common factor (GCF) of 66473 and 66484 is 11.

GCF(66473,66484) = 11

We will now calculate the prime factors of 66473 and 66484, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66473 and 66484.

How to find the GCF of 66473 and 66484?

We will first find the prime factorization of 66473 and 66484. After we will calculate the factors of 66473 and 66484 and find the biggest common factor number .

Step-1: Prime Factorization of 66473

Prime factors of 66473 are 11, 6043. Prime factorization of 66473 in exponential form is:

66473 = 11¹ × 6043¹

Step-2: Prime Factorization of 66484

Prime factors of 66484 are 2, 11, 1511. Prime factorization of 66484 in exponential form is:

66484 = 2² × 11¹ × 1511¹

Step-3: Factors of 66473

List of positive integer factors of 66473 that divides 66473 without a remainder.

1, 11, 6043

Step-4: Factors of 66484

List of positive integer factors of 66484 that divides 66473 without a remainder.

1, 2, 4, 11, 22, 44, 1511, 3022, 6044, 16621, 33242

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66473 and 66484. The biggest common factor number is the GCF number.
So the greatest common factor 66473 and 66484 is 11.

Also check out the Least Common Multiple of 66473 and 66484