What is the Greatest Common Factor of 71630 and 71649?

Greatest common factor (GCF) of 71630 and 71649 is 19.

GCF(71630,71649) = 19

We will now calculate the prime factors of 71630 and 71649, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71630 and 71649.

How to find the GCF of 71630 and 71649?

We will first find the prime factorization of 71630 and 71649. After we will calculate the factors of 71630 and 71649 and find the biggest common factor number .

Step-1: Prime Factorization of 71630

Prime factors of 71630 are 2, 5, 13, 19, 29. Prime factorization of 71630 in exponential form is:

71630 = 2¹ × 5¹ × 13¹ × 19¹ × 29¹

Step-2: 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-3: Factors of 71630

List of positive integer factors of 71630 that divides 71630 without a remainder.

1, 2, 5, 10, 13, 19, 26, 29, 38, 58, 65, 95, 130, 145, 190, 247, 290, 377, 494, 551, 754, 1102, 1235, 1885, 2470, 2755, 3770, 5510, 7163, 14326, 35815

Step-4: Factors of 71649

List of positive integer factors of 71649 that divides 71630 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71630 and 71649. The biggest common factor number is the GCF number.
So the greatest common factor 71630 and 71649 is 19.

Also check out the Least Common Multiple of 71630 and 71649