What is the Greatest Common Factor of 748 and 757?

Greatest common factor (GCF) of 748 and 757 is 1.

GCF(748,757) = 1

We will now calculate the prime factors of 748 and 757, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 748 and 757.

How to find the GCF of 748 and 757?

We will first find the prime factorization of 748 and 757. After we will calculate the factors of 748 and 757 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 757

Prime factors of 757 are 757. Prime factorization of 757 in exponential form is:

757 = 757¹

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 757

List of positive integer factors of 757 that divides 748 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 748 and 757. The biggest common factor number is the GCF number.
So the greatest common factor 748 and 757 is 1.

Also check out the Least Common Multiple of 748 and 757