What is the Greatest Common Factor of 3090 and 3102?

Greatest common factor (GCF) of 3090 and 3102 is 6.

GCF(3090,3102) = 6

We will now calculate the prime factors of 3090 and 3102, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3090 and 3102.

How to find the GCF of 3090 and 3102?

We will first find the prime factorization of 3090 and 3102. After we will calculate the factors of 3090 and 3102 and find the biggest common factor number .

Step-1: Prime Factorization of 3090

Prime factors of 3090 are 2, 3, 5, 103. Prime factorization of 3090 in exponential form is:

3090 = 2¹ × 3¹ × 5¹ × 103¹

Step-2: Prime Factorization of 3102

Prime factors of 3102 are 2, 3, 11, 47. Prime factorization of 3102 in exponential form is:

3102 = 2¹ × 3¹ × 11¹ × 47¹

Step-3: Factors of 3090

List of positive integer factors of 3090 that divides 3090 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 103, 206, 309, 515, 618, 1030, 1545

Step-4: Factors of 3102

List of positive integer factors of 3102 that divides 3090 without a remainder.

1, 2, 3, 6, 11, 22, 33, 47, 66, 94, 141, 282, 517, 1034, 1551

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3090 and 3102. The biggest common factor number is the GCF number.
So the greatest common factor 3090 and 3102 is 6.

Also check out the Least Common Multiple of 3090 and 3102