What is the Greatest Common Factor of 41080 and 41088?

Greatest common factor (GCF) of 41080 and 41088 is 8.

GCF(41080,41088) = 8

We will now calculate the prime factors of 41080 and 41088, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41080 and 41088.

How to find the GCF of 41080 and 41088?

We will first find the prime factorization of 41080 and 41088. After we will calculate the factors of 41080 and 41088 and find the biggest common factor number .

Step-1: Prime Factorization of 41080

Prime factors of 41080 are 2, 5, 13, 79. Prime factorization of 41080 in exponential form is:

41080 = 2³ × 5¹ × 13¹ × 79¹

Step-2: Prime Factorization of 41088

Prime factors of 41088 are 2, 3, 107. Prime factorization of 41088 in exponential form is:

41088 = 2⁷ × 3¹ × 107¹

Step-3: Factors of 41080

List of positive integer factors of 41080 that divides 41080 without a remainder.

1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 79, 104, 130, 158, 260, 316, 395, 520, 632, 790, 1027, 1580, 2054, 3160, 4108, 5135, 8216, 10270, 20540

Step-4: Factors of 41088

List of positive integer factors of 41088 that divides 41080 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 107, 128, 192, 214, 321, 384, 428, 642, 856, 1284, 1712, 2568, 3424, 5136, 6848, 10272, 13696, 20544

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41080 and 41088. The biggest common factor number is the GCF number.
So the greatest common factor 41080 and 41088 is 8.

Also check out the Least Common Multiple of 41080 and 41088