What is the Greatest Common Factor of 2744 and 2762?

Greatest common factor (GCF) of 2744 and 2762 is 2.

GCF(2744,2762) = 2

We will now calculate the prime factors of 2744 and 2762, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2744 and 2762.

How to find the GCF of 2744 and 2762?

We will first find the prime factorization of 2744 and 2762. After we will calculate the factors of 2744 and 2762 and find the biggest common factor number .

Step-1: Prime Factorization of 2744

Prime factors of 2744 are 2, 7. Prime factorization of 2744 in exponential form is:

2744 = 2³ × 7³

Step-2: Prime Factorization of 2762

Prime factors of 2762 are 2, 1381. Prime factorization of 2762 in exponential form is:

2762 = 2¹ × 1381¹

Step-3: Factors of 2744

List of positive integer factors of 2744 that divides 2744 without a remainder.

1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 343, 392, 686, 1372

Step-4: Factors of 2762

List of positive integer factors of 2762 that divides 2744 without a remainder.

1, 2, 1381

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2744 and 2762. The biggest common factor number is the GCF number.
So the greatest common factor 2744 and 2762 is 2.

Also check out the Least Common Multiple of 2744 and 2762