What is the Greatest Common Factor of 3090 and 3100?

Greatest common factor (GCF) of 3090 and 3100 is 10.

GCF(3090,3100) = 10

We will now calculate the prime factors of 3090 and 3100, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3090 and 3100.

How to find the GCF of 3090 and 3100?

We will first find the prime factorization of 3090 and 3100. After we will calculate the factors of 3090 and 3100 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 3100

Prime factors of 3100 are 2, 5, 31. Prime factorization of 3100 in exponential form is:

3100 = 2² × 5² × 31¹

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 3100

List of positive integer factors of 3100 that divides 3090 without a remainder.

1, 2, 4, 5, 10, 20, 25, 31, 50, 62, 100, 124, 155, 310, 620, 775, 1550

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3090 and 3100. The biggest common factor number is the GCF number.
So the greatest common factor 3090 and 3100 is 10.

Also check out the Least Common Multiple of 3090 and 3100