What is the Greatest Common Factor of 71640 and 71656?

Greatest common factor (GCF) of 71640 and 71656 is 8.

GCF(71640,71656) = 8

We will now calculate the prime factors of 71640 and 71656, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71640 and 71656.

How to find the GCF of 71640 and 71656?

We will first find the prime factorization of 71640 and 71656. After we will calculate the factors of 71640 and 71656 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 71656

Prime factors of 71656 are 2, 13, 53. Prime factorization of 71656 in exponential form is:

71656 = 2³ × 13² × 53¹

Step-3: Factors of 71640

List of positive integer factors of 71640 that divides 71640 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

Step-4: Factors of 71656

List of positive integer factors of 71656 that divides 71640 without a remainder.

1, 2, 4, 8, 13, 26, 52, 53, 104, 106, 169, 212, 338, 424, 676, 689, 1352, 1378, 2756, 5512, 8957, 17914, 35828

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71640 and 71656. The biggest common factor number is the GCF number.
So the greatest common factor 71640 and 71656 is 8.

Also check out the Least Common Multiple of 71640 and 71656