What is the Greatest Common Factor of 10748 and 10768?

Greatest common factor (GCF) of 10748 and 10768 is 4.

GCF(10748,10768) = 4

We will now calculate the prime factors of 10748 and 10768, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10748 and 10768.

How to find the GCF of 10748 and 10768?

We will first find the prime factorization of 10748 and 10768. After we will calculate the factors of 10748 and 10768 and find the biggest common factor number .

Step-1: Prime Factorization of 10748

Prime factors of 10748 are 2, 2687. Prime factorization of 10748 in exponential form is:

10748 = 2² × 2687¹

Step-2: Prime Factorization of 10768

Prime factors of 10768 are 2, 673. Prime factorization of 10768 in exponential form is:

10768 = 2⁴ × 673¹

Step-3: Factors of 10748

List of positive integer factors of 10748 that divides 10748 without a remainder.

1, 2, 4, 2687, 5374

Step-4: Factors of 10768

List of positive integer factors of 10768 that divides 10748 without a remainder.

1, 2, 4, 8, 16, 673, 1346, 2692, 5384

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10748 and 10768. The biggest common factor number is the GCF number.
So the greatest common factor 10748 and 10768 is 4.

Also check out the Least Common Multiple of 10748 and 10768