What is the Greatest Common Factor of 3052 and 3066?

Greatest common factor (GCF) of 3052 and 3066 is 14.

GCF(3052,3066) = 14

We will now calculate the prime factors of 3052 and 3066, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3052 and 3066.

How to find the GCF of 3052 and 3066?

We will first find the prime factorization of 3052 and 3066. After we will calculate the factors of 3052 and 3066 and find the biggest common factor number .

Step-1: Prime Factorization of 3052

Prime factors of 3052 are 2, 7, 109. Prime factorization of 3052 in exponential form is:

3052 = 2² × 7¹ × 109¹

Step-2: Prime Factorization of 3066

Prime factors of 3066 are 2, 3, 7, 73. Prime factorization of 3066 in exponential form is:

3066 = 2¹ × 3¹ × 7¹ × 73¹

Step-3: Factors of 3052

List of positive integer factors of 3052 that divides 3052 without a remainder.

1, 2, 4, 7, 14, 28, 109, 218, 436, 763, 1526

Step-4: Factors of 3066

List of positive integer factors of 3066 that divides 3052 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 73, 146, 219, 438, 511, 1022, 1533

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3052 and 3066. The biggest common factor number is the GCF number.
So the greatest common factor 3052 and 3066 is 14.

Also check out the Least Common Multiple of 3052 and 3066