What is the Greatest Common Factor of 47792 and 47797?

Greatest common factor (GCF) of 47792 and 47797 is 1.

GCF(47792,47797) = 1

We will now calculate the prime factors of 47792 and 47797, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47792 and 47797.

How to find the GCF of 47792 and 47797?

We will first find the prime factorization of 47792 and 47797. After we will calculate the factors of 47792 and 47797 and find the biggest common factor number .

Step-1: Prime Factorization of 47792

Prime factors of 47792 are 2, 29, 103. Prime factorization of 47792 in exponential form is:

47792 = 2⁴ × 29¹ × 103¹

Step-2: Prime Factorization of 47797

Prime factors of 47797 are 47797. Prime factorization of 47797 in exponential form is:

47797 = 47797¹

Step-3: Factors of 47792

List of positive integer factors of 47792 that divides 47792 without a remainder.

1, 2, 4, 8, 16, 29, 58, 103, 116, 206, 232, 412, 464, 824, 1648, 2987, 5974, 11948, 23896

Step-4: Factors of 47797

List of positive integer factors of 47797 that divides 47792 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47792 and 47797. The biggest common factor number is the GCF number.
So the greatest common factor 47792 and 47797 is 1.

Also check out the Least Common Multiple of 47792 and 47797