What is the Greatest Common Factor of 71632 and 71640?

Greatest common factor (GCF) of 71632 and 71640 is 8.

GCF(71632,71640) = 8

We will now calculate the prime factors of 71632 and 71640, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71632 and 71640.

How to find the GCF of 71632 and 71640?

We will first find the prime factorization of 71632 and 71640. After we will calculate the factors of 71632 and 71640 and find the biggest common factor number .

Step-1: Prime Factorization of 71632

Prime factors of 71632 are 2, 11, 37. Prime factorization of 71632 in exponential form is:

71632 = 2⁴ × 11² × 37¹

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 71632

List of positive integer factors of 71632 that divides 71632 without a remainder.

1, 2, 4, 8, 11, 16, 22, 37, 44, 74, 88, 121, 148, 176, 242, 296, 407, 484, 592, 814, 968, 1628, 1936, 3256, 4477, 6512, 8954, 17908, 35816

Step-4: Factors of 71640

List of positive integer factors of 71640 that divides 71632 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 71632 and 71640. The biggest common factor number is the GCF number.
So the greatest common factor 71632 and 71640 is 8.

Also check out the Least Common Multiple of 71632 and 71640