What is the Greatest Common Factor of 2740 and 2758?

Greatest common factor (GCF) of 2740 and 2758 is 2.

GCF(2740,2758) = 2

We will now calculate the prime factors of 2740 and 2758, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2740 and 2758.

How to find the GCF of 2740 and 2758?

We will first find the prime factorization of 2740 and 2758. After we will calculate the factors of 2740 and 2758 and find the biggest common factor number .

Step-1: Prime Factorization of 2740

Prime factors of 2740 are 2, 5, 137. Prime factorization of 2740 in exponential form is:

2740 = 2² × 5¹ × 137¹

Step-2: Prime Factorization of 2758

Prime factors of 2758 are 2, 7, 197. Prime factorization of 2758 in exponential form is:

2758 = 2¹ × 7¹ × 197¹

Step-3: Factors of 2740

List of positive integer factors of 2740 that divides 2740 without a remainder.

1, 2, 4, 5, 10, 20, 137, 274, 548, 685, 1370

Step-4: Factors of 2758

List of positive integer factors of 2758 that divides 2740 without a remainder.

1, 2, 7, 14, 197, 394, 1379

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2740 and 2758. The biggest common factor number is the GCF number.
So the greatest common factor 2740 and 2758 is 2.

Also check out the Least Common Multiple of 2740 and 2758