What is the Greatest Common Factor of 71630 and 71637?

Greatest common factor (GCF) of 71630 and 71637 is 1.

GCF(71630,71637) = 1

We will now calculate the prime factors of 71630 and 71637, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71630 and 71637.

How to find the GCF of 71630 and 71637?

We will first find the prime factorization of 71630 and 71637. After we will calculate the factors of 71630 and 71637 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 71637

Prime factors of 71637 are 3, 23879. Prime factorization of 71637 in exponential form is:

71637 = 3¹ × 23879¹

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 71637

List of positive integer factors of 71637 that divides 71630 without a remainder.

1, 3, 23879

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71630 and 71637. The biggest common factor number is the GCF number.
So the greatest common factor 71630 and 71637 is 1.

Also check out the Least Common Multiple of 71630 and 71637