What is the Greatest Common Factor of 41496 and 41509?

Greatest common factor (GCF) of 41496 and 41509 is 13.

GCF(41496,41509) = 13

We will now calculate the prime factors of 41496 and 41509, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41496 and 41509.

How to find the GCF of 41496 and 41509?

We will first find the prime factorization of 41496 and 41509. After we will calculate the factors of 41496 and 41509 and find the biggest common factor number .

Step-1: Prime Factorization of 41496

Prime factors of 41496 are 2, 3, 7, 13, 19. Prime factorization of 41496 in exponential form is:

41496 = 2³ × 3¹ × 7¹ × 13¹ × 19¹

Step-2: Prime Factorization of 41509

Prime factors of 41509 are 13, 31, 103. Prime factorization of 41509 in exponential form is:

41509 = 13¹ × 31¹ × 103¹

Step-3: Factors of 41496

List of positive integer factors of 41496 that divides 41496 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 13, 14, 19, 21, 24, 26, 28, 38, 39, 42, 52, 56, 57, 76, 78, 84, 91, 104, 114, 133, 152, 156, 168, 182, 228, 247, 266, 273, 312, 364, 399, 456, 494, 532, 546, 728, 741, 798, 988, 1064, 1092, 1482, 1596, 1729, 1976, 2184, 2964, 3192, 3458, 5187, 5928, 6916, 10374, 13832, 20748

Step-4: Factors of 41509

List of positive integer factors of 41509 that divides 41496 without a remainder.

1, 13, 31, 103, 403, 1339, 3193

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41496 and 41509. The biggest common factor number is the GCF number.
So the greatest common factor 41496 and 41509 is 13.

Also check out the Least Common Multiple of 41496 and 41509