What is the Greatest Common Factor of 6900 and 6914?

Greatest common factor (GCF) of 6900 and 6914 is 2.

GCF(6900,6914) = 2

We will now calculate the prime factors of 6900 and 6914, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6900 and 6914.

How to find the GCF of 6900 and 6914?

We will first find the prime factorization of 6900 and 6914. After we will calculate the factors of 6900 and 6914 and find the biggest common factor number .

Step-1: Prime Factorization of 6900

Prime factors of 6900 are 2, 3, 5, 23. Prime factorization of 6900 in exponential form is:

6900 = 2² × 3¹ × 5² × 23¹

Step-2: Prime Factorization of 6914

Prime factors of 6914 are 2, 3457. Prime factorization of 6914 in exponential form is:

6914 = 2¹ × 3457¹

Step-3: Factors of 6900

List of positive integer factors of 6900 that divides 6900 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 23, 25, 30, 46, 50, 60, 69, 75, 92, 100, 115, 138, 150, 230, 276, 300, 345, 460, 575, 690, 1150, 1380, 1725, 2300, 3450

Step-4: Factors of 6914

List of positive integer factors of 6914 that divides 6900 without a remainder.

1, 2, 3457

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6900 and 6914. The biggest common factor number is the GCF number.
So the greatest common factor 6900 and 6914 is 2.

Also check out the Least Common Multiple of 6900 and 6914