What is the Greatest Common Factor of 749 and 769?

Greatest common factor (GCF) of 749 and 769 is 1.

GCF(749,769) = 1

We will now calculate the prime factors of 749 and 769, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 749 and 769.

How to find the GCF of 749 and 769?

We will first find the prime factorization of 749 and 769. After we will calculate the factors of 749 and 769 and find the biggest common factor number .

Step-1: Prime Factorization of 749

Prime factors of 749 are 7, 107. Prime factorization of 749 in exponential form is:

749 = 7¹ × 107¹

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 749

List of positive integer factors of 749 that divides 749 without a remainder.

1, 7, 107

Step-4: Factors of 769

List of positive integer factors of 769 that divides 749 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 749 and 769. The biggest common factor number is the GCF number.
So the greatest common factor 749 and 769 is 1.

Also check out the Least Common Multiple of 749 and 769