What is the Greatest Common Factor of 41489 and 41496?

Greatest common factor (GCF) of 41489 and 41496 is 7.

GCF(41489,41496) = 7

We will now calculate the prime factors of 41489 and 41496, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41489 and 41496.

How to find the GCF of 41489 and 41496?

We will first find the prime factorization of 41489 and 41496. After we will calculate the factors of 41489 and 41496 and find the biggest common factor number .

Step-1: Prime Factorization of 41489

Prime factors of 41489 are 7, 5927. Prime factorization of 41489 in exponential form is:

41489 = 7¹ × 5927¹

Step-2: 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-3: Factors of 41489

List of positive integer factors of 41489 that divides 41489 without a remainder.

1, 7, 5927

Step-4: Factors of 41496

List of positive integer factors of 41496 that divides 41489 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41489 and 41496. The biggest common factor number is the GCF number.
So the greatest common factor 41489 and 41496 is 7.

Also check out the Least Common Multiple of 41489 and 41496