What is the Greatest Common Factor of 71631 and 71640?

Greatest common factor (GCF) of 71631 and 71640 is 9.

GCF(71631,71640) = 9

We will now calculate the prime factors of 71631 and 71640, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71631 and 71640.

How to find the GCF of 71631 and 71640?

We will first find the prime factorization of 71631 and 71640. After we will calculate the factors of 71631 and 71640 and find the biggest common factor number .

Step-1: Prime Factorization of 71631

Prime factors of 71631 are 3, 7, 379. Prime factorization of 71631 in exponential form is:

71631 = 3³ × 7¹ × 379¹

Step-2: Prime Factorization of 71640

Prime factors of 71640 are 2, 3, 5, 199. Prime factorization of 71640 in exponential form is:

71640 = 2³ × 3² × 5¹ × 199¹

Step-3: Factors of 71631

List of positive integer factors of 71631 that divides 71631 without a remainder.

1, 3, 7, 9, 21, 27, 63, 189, 379, 1137, 2653, 3411, 7959, 10233, 23877

Step-4: Factors of 71640

List of positive integer factors of 71640 that divides 71631 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 199, 360, 398, 597, 796, 995, 1194, 1592, 1791, 1990, 2388, 2985, 3582, 3980, 4776, 5970, 7164, 7960, 8955, 11940, 14328, 17910, 23880, 35820

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71631 and 71640. The biggest common factor number is the GCF number.
So the greatest common factor 71631 and 71640 is 9.

Also check out the Least Common Multiple of 71631 and 71640