What is the Greatest Common Factor of 71630 and 71640?

Greatest common factor (GCF) of 71630 and 71640 is 10.

GCF(71630,71640) = 10

We will now calculate the prime factors of 71630 and 71640, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71630 and 71640.

How to find the GCF of 71630 and 71640?

We will first find the prime factorization of 71630 and 71640. After we will calculate the factors of 71630 and 71640 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 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 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 71640

List of positive integer factors of 71640 that divides 71630 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 71630 and 71640. The biggest common factor number is the GCF number.
So the greatest common factor 71630 and 71640 is 10.

Also check out the Least Common Multiple of 71630 and 71640