What is the Greatest Common Factor of 66462 and 66473?

Greatest common factor (GCF) of 66462 and 66473 is 11.

GCF(66462,66473) = 11

We will now calculate the prime factors of 66462 and 66473, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66462 and 66473.

How to find the GCF of 66462 and 66473?

We will first find the prime factorization of 66462 and 66473. After we will calculate the factors of 66462 and 66473 and find the biggest common factor number .

Step-1: Prime Factorization of 66462

Prime factors of 66462 are 2, 3, 11, 19, 53. Prime factorization of 66462 in exponential form is:

66462 = 2¹ × 3¹ × 11¹ × 19¹ × 53¹

Step-2: Prime Factorization of 66473

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

66473 = 11¹ × 6043¹

Step-3: Factors of 66462

List of positive integer factors of 66462 that divides 66462 without a remainder.

1, 2, 3, 6, 11, 19, 22, 33, 38, 53, 57, 66, 106, 114, 159, 209, 318, 418, 583, 627, 1007, 1166, 1254, 1749, 2014, 3021, 3498, 6042, 11077, 22154, 33231

Step-4: Factors of 66473

List of positive integer factors of 66473 that divides 66462 without a remainder.

1, 11, 6043

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66462 and 66473. The biggest common factor number is the GCF number.
So the greatest common factor 66462 and 66473 is 11.

Also check out the Least Common Multiple of 66462 and 66473