What is the Greatest Common Factor of 47691 and 47707?

Greatest common factor (GCF) of 47691 and 47707 is 1.

GCF(47691,47707) = 1

We will now calculate the prime factors of 47691 and 47707, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47691 and 47707.

How to find the GCF of 47691 and 47707?

We will first find the prime factorization of 47691 and 47707. After we will calculate the factors of 47691 and 47707 and find the biggest common factor number .

Step-1: Prime Factorization of 47691

Prime factors of 47691 are 3, 7, 757. Prime factorization of 47691 in exponential form is:

47691 = 3² × 7¹ × 757¹

Step-2: Prime Factorization of 47707

Prime factors of 47707 are 11, 4337. Prime factorization of 47707 in exponential form is:

47707 = 11¹ × 4337¹

Step-3: Factors of 47691

List of positive integer factors of 47691 that divides 47691 without a remainder.

1, 3, 7, 9, 21, 63, 757, 2271, 5299, 6813, 15897

Step-4: Factors of 47707

List of positive integer factors of 47707 that divides 47691 without a remainder.

1, 11, 4337

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47691 and 47707. The biggest common factor number is the GCF number.
So the greatest common factor 47691 and 47707 is 1.

Also check out the Least Common Multiple of 47691 and 47707