What is the Greatest Common Factor of 748 and 767?

Greatest common factor (GCF) of 748 and 767 is 1.

GCF(748,767) = 1

We will now calculate the prime factors of 748 and 767, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 748 and 767.

How to find the GCF of 748 and 767?

We will first find the prime factorization of 748 and 767. After we will calculate the factors of 748 and 767 and find the biggest common factor number .

Step-1: Prime Factorization of 748

Prime factors of 748 are 2, 11, 17. Prime factorization of 748 in exponential form is:

748 = 2² × 11¹ × 17¹

Step-2: Prime Factorization of 767

Prime factors of 767 are 13, 59. Prime factorization of 767 in exponential form is:

767 = 13¹ × 59¹

Step-3: Factors of 748

List of positive integer factors of 748 that divides 748 without a remainder.

1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374

Step-4: Factors of 767

List of positive integer factors of 767 that divides 748 without a remainder.

1, 13, 59

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 748 and 767. The biggest common factor number is the GCF number.
So the greatest common factor 748 and 767 is 1.

Also check out the Least Common Multiple of 748 and 767