What is the Greatest Common Factor of 76745 and 76763?

Greatest common factor (GCF) of 76745 and 76763 is 1.

GCF(76745,76763) = 1

We will now calculate the prime factors of 76745 and 76763, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76745 and 76763.

How to find the GCF of 76745 and 76763?

We will first find the prime factorization of 76745 and 76763. After we will calculate the factors of 76745 and 76763 and find the biggest common factor number .

Step-1: Prime Factorization of 76745

Prime factors of 76745 are 5, 15349. Prime factorization of 76745 in exponential form is:

76745 = 5¹ × 15349¹

Step-2: Prime Factorization of 76763

Prime factors of 76763 are 29, 2647. Prime factorization of 76763 in exponential form is:

76763 = 29¹ × 2647¹

Step-3: Factors of 76745

List of positive integer factors of 76745 that divides 76745 without a remainder.

1, 5, 15349

Step-4: Factors of 76763

List of positive integer factors of 76763 that divides 76745 without a remainder.

1, 29, 2647

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76745 and 76763. The biggest common factor number is the GCF number.
So the greatest common factor 76745 and 76763 is 1.

Also check out the Least Common Multiple of 76745 and 76763