What is the Greatest Common Factor of 752 and 769?

Greatest common factor (GCF) of 752 and 769 is 1.

GCF(752,769) = 1

We will now calculate the prime factors of 752 and 769, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 752 and 769.

How to find the GCF of 752 and 769?

We will first find the prime factorization of 752 and 769. After we will calculate the factors of 752 and 769 and find the biggest common factor number .

Step-1: Prime Factorization of 752

Prime factors of 752 are 2, 47. Prime factorization of 752 in exponential form is:

752 = 2⁴ × 47¹

Step-2: Prime Factorization of 769

Prime factors of 769 are 769. Prime factorization of 769 in exponential form is:

769 = 769¹

Step-3: Factors of 752

List of positive integer factors of 752 that divides 752 without a remainder.

1, 2, 4, 8, 16, 47, 94, 188, 376

Step-4: Factors of 769

List of positive integer factors of 769 that divides 752 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 752 and 769. The biggest common factor number is the GCF number.
So the greatest common factor 752 and 769 is 1.

Also check out the Least Common Multiple of 752 and 769