What is the Greatest Common Factor of 66603 and 66612?

Greatest common factor (GCF) of 66603 and 66612 is 3.

GCF(66603,66612) = 3

We will now calculate the prime factors of 66603 and 66612, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66603 and 66612.

How to find the GCF of 66603 and 66612?

We will first find the prime factorization of 66603 and 66612. After we will calculate the factors of 66603 and 66612 and find the biggest common factor number .

Step-1: Prime Factorization of 66603

Prime factors of 66603 are 3, 149. Prime factorization of 66603 in exponential form is:

66603 = 3¹ × 149²

Step-2: Prime Factorization of 66612

Prime factors of 66612 are 2, 3, 7, 13, 61. Prime factorization of 66612 in exponential form is:

66612 = 2² × 3¹ × 7¹ × 13¹ × 61¹

Step-3: Factors of 66603

List of positive integer factors of 66603 that divides 66603 without a remainder.

1, 3, 149, 447, 22201

Step-4: Factors of 66612

List of positive integer factors of 66612 that divides 66603 without a remainder.

1, 2, 3, 4, 6, 7, 12, 13, 14, 21, 26, 28, 39, 42, 52, 61, 78, 84, 91, 122, 156, 182, 183, 244, 273, 364, 366, 427, 546, 732, 793, 854, 1092, 1281, 1586, 1708, 2379, 2562, 3172, 4758, 5124, 5551, 9516, 11102, 16653, 22204, 33306

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66603 and 66612. The biggest common factor number is the GCF number.
So the greatest common factor 66603 and 66612 is 3.

Also check out the Least Common Multiple of 66603 and 66612