What is the Greatest Common Factor of 66462 and 66481?

Greatest common factor (GCF) of 66462 and 66481 is 19.

GCF(66462,66481) = 19

We will now calculate the prime factors of 66462 and 66481, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66462 and 66481.

How to find the GCF of 66462 and 66481?

We will first find the prime factorization of 66462 and 66481. After we will calculate the factors of 66462 and 66481 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 66481

Prime factors of 66481 are 19, 3499. Prime factorization of 66481 in exponential form is:

66481 = 19¹ × 3499¹

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 66481

List of positive integer factors of 66481 that divides 66462 without a remainder.

1, 19, 3499

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66462 and 66481. The biggest common factor number is the GCF number.
So the greatest common factor 66462 and 66481 is 19.

Also check out the Least Common Multiple of 66462 and 66481