What is the Greatest Common Factor of 47649 and 47663?

Greatest common factor (GCF) of 47649 and 47663 is 7.

GCF(47649,47663) = 7

We will now calculate the prime factors of 47649 and 47663, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47649 and 47663.

How to find the GCF of 47649 and 47663?

We will first find the prime factorization of 47649 and 47663. After we will calculate the factors of 47649 and 47663 and find the biggest common factor number .

Step-1: Prime Factorization of 47649

Prime factors of 47649 are 3, 7, 2269. Prime factorization of 47649 in exponential form is:

47649 = 3¹ × 7¹ × 2269¹

Step-2: Prime Factorization of 47663

Prime factors of 47663 are 7, 11, 619. Prime factorization of 47663 in exponential form is:

47663 = 7¹ × 11¹ × 619¹

Step-3: Factors of 47649

List of positive integer factors of 47649 that divides 47649 without a remainder.

1, 3, 7, 21, 2269, 6807, 15883

Step-4: Factors of 47663

List of positive integer factors of 47663 that divides 47649 without a remainder.

1, 7, 11, 77, 619, 4333, 6809

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47649 and 47663. The biggest common factor number is the GCF number.
So the greatest common factor 47649 and 47663 is 7.

Also check out the Least Common Multiple of 47649 and 47663