What is the Greatest Common Factor of 2758 and 2764?

Greatest common factor (GCF) of 2758 and 2764 is 2.

GCF(2758,2764) = 2

We will now calculate the prime factors of 2758 and 2764, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2758 and 2764.

How to find the GCF of 2758 and 2764?

We will first find the prime factorization of 2758 and 2764. After we will calculate the factors of 2758 and 2764 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 2764

Prime factors of 2764 are 2, 691. Prime factorization of 2764 in exponential form is:

2764 = 2² × 691¹

Step-3: Factors of 2758

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

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

Step-4: Factors of 2764

List of positive integer factors of 2764 that divides 2758 without a remainder.

1, 2, 4, 691, 1382

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2758 and 2764. The biggest common factor number is the GCF number.
So the greatest common factor 2758 and 2764 is 2.

Also check out the Least Common Multiple of 2758 and 2764