What is the Greatest Common Factor of 41072 and 41088?

Greatest common factor (GCF) of 41072 and 41088 is 16.

GCF(41072,41088) = 16

We will now calculate the prime factors of 41072 and 41088, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41072 and 41088.

How to find the GCF of 41072 and 41088?

We will first find the prime factorization of 41072 and 41088. After we will calculate the factors of 41072 and 41088 and find the biggest common factor number .

Step-1: Prime Factorization of 41072

Prime factors of 41072 are 2, 17, 151. Prime factorization of 41072 in exponential form is:

41072 = 2⁴ × 17¹ × 151¹

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 41072

List of positive integer factors of 41072 that divides 41072 without a remainder.

1, 2, 4, 8, 16, 17, 34, 68, 136, 151, 272, 302, 604, 1208, 2416, 2567, 5134, 10268, 20536

Step-4: Factors of 41088

List of positive integer factors of 41088 that divides 41072 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 41072 and 41088. The biggest common factor number is the GCF number.
So the greatest common factor 41072 and 41088 is 16.

Also check out the Least Common Multiple of 41072 and 41088