What is the Greatest Common Factor of 2688 and 2702?

Greatest common factor (GCF) of 2688 and 2702 is 14.

GCF(2688,2702) = 14

We will now calculate the prime factors of 2688 and 2702, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2688 and 2702.

How to find the GCF of 2688 and 2702?

We will first find the prime factorization of 2688 and 2702. After we will calculate the factors of 2688 and 2702 and find the biggest common factor number .

Step-1: Prime Factorization of 2688

Prime factors of 2688 are 2, 3, 7. Prime factorization of 2688 in exponential form is:

2688 = 2⁷ × 3¹ × 7¹

Step-2: Prime Factorization of 2702

Prime factors of 2702 are 2, 7, 193. Prime factorization of 2702 in exponential form is:

2702 = 2¹ × 7¹ × 193¹

Step-3: Factors of 2688

List of positive integer factors of 2688 that divides 2688 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 64, 84, 96, 112, 128, 168, 192, 224, 336, 384, 448, 672, 896, 1344

Step-4: Factors of 2702

List of positive integer factors of 2702 that divides 2688 without a remainder.

1, 2, 7, 14, 193, 386, 1351

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2688 and 2702. The biggest common factor number is the GCF number.
So the greatest common factor 2688 and 2702 is 14.

Also check out the Least Common Multiple of 2688 and 2702