What is the Greatest Common Factor of 66451 and 66462?

Greatest common factor (GCF) of 66451 and 66462 is 11.

GCF(66451,66462) = 11

We will now calculate the prime factors of 66451 and 66462, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66451 and 66462.

How to find the GCF of 66451 and 66462?

We will first find the prime factorization of 66451 and 66462. After we will calculate the factors of 66451 and 66462 and find the biggest common factor number .

Step-1: Prime Factorization of 66451

Prime factors of 66451 are 7, 11, 863. Prime factorization of 66451 in exponential form is:

66451 = 7¹ × 11¹ × 863¹

Step-2: 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-3: Factors of 66451

List of positive integer factors of 66451 that divides 66451 without a remainder.

1, 7, 11, 77, 863, 6041, 9493

Step-4: Factors of 66462

List of positive integer factors of 66462 that divides 66451 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66451 and 66462. The biggest common factor number is the GCF number.
So the greatest common factor 66451 and 66462 is 11.

Also check out the Least Common Multiple of 66451 and 66462