What is the Greatest Common Factor of 71649 and 71663?

Greatest common factor (GCF) of 71649 and 71663 is 1.

GCF(71649,71663) = 1

We will now calculate the prime factors of 71649 and 71663, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71649 and 71663.

How to find the GCF of 71649 and 71663?

We will first find the prime factorization of 71649 and 71663. After we will calculate the factors of 71649 and 71663 and find the biggest common factor number .

Step-1: Prime Factorization of 71649

Prime factors of 71649 are 3, 19, 419. Prime factorization of 71649 in exponential form is:

71649 = 3² × 19¹ × 419¹

Step-2: Prime Factorization of 71663

Prime factors of 71663 are 71663. Prime factorization of 71663 in exponential form is:

71663 = 71663¹

Step-3: Factors of 71649

List of positive integer factors of 71649 that divides 71649 without a remainder.

1, 3, 9, 19, 57, 171, 419, 1257, 3771, 7961, 23883

Step-4: Factors of 71663

List of positive integer factors of 71663 that divides 71649 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71649 and 71663. The biggest common factor number is the GCF number.
So the greatest common factor 71649 and 71663 is 1.

Also check out the Least Common Multiple of 71649 and 71663