What is the Greatest Common Factor of 7946 and 7963?

Greatest common factor (GCF) of 7946 and 7963 is 1.

GCF(7946,7963) = 1

We will now calculate the prime factors of 7946 and 7963, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7946 and 7963.

How to find the GCF of 7946 and 7963?

We will first find the prime factorization of 7946 and 7963. After we will calculate the factors of 7946 and 7963 and find the biggest common factor number .

Step-1: Prime Factorization of 7946

Prime factors of 7946 are 2, 29, 137. Prime factorization of 7946 in exponential form is:

7946 = 2¹ × 29¹ × 137¹

Step-2: Prime Factorization of 7963

Prime factors of 7963 are 7963. Prime factorization of 7963 in exponential form is:

7963 = 7963¹

Step-3: Factors of 7946

List of positive integer factors of 7946 that divides 7946 without a remainder.

1, 2, 29, 58, 137, 274, 3973

Step-4: Factors of 7963

List of positive integer factors of 7963 that divides 7946 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7946 and 7963. The biggest common factor number is the GCF number.
So the greatest common factor 7946 and 7963 is 1.

Also check out the Least Common Multiple of 7946 and 7963