What is the Greatest Common Factor of 76946 and 76963?

Greatest common factor (GCF) of 76946 and 76963 is 1.

GCF(76946,76963) = 1

We will now calculate the prime factors of 76946 and 76963, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76946 and 76963.

How to find the GCF of 76946 and 76963?

We will first find the prime factorization of 76946 and 76963. After we will calculate the factors of 76946 and 76963 and find the biggest common factor number .

Step-1: Prime Factorization of 76946

Prime factors of 76946 are 2, 79, 487. Prime factorization of 76946 in exponential form is:

76946 = 2¹ × 79¹ × 487¹

Step-2: Prime Factorization of 76963

Prime factors of 76963 are 76963. Prime factorization of 76963 in exponential form is:

76963 = 76963¹

Step-3: Factors of 76946

List of positive integer factors of 76946 that divides 76946 without a remainder.

1, 2, 79, 158, 487, 974, 38473

Step-4: Factors of 76963

List of positive integer factors of 76963 that divides 76946 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76946 and 76963. The biggest common factor number is the GCF number.
So the greatest common factor 76946 and 76963 is 1.

Also check out the Least Common Multiple of 76946 and 76963