What is the Greatest Common Factor of 41344 and 41359?
Greatest common factor (GCF) of 41344 and 41359 is 1.
GCF(41344,41359) = 1
We will now calculate the prime factors of 41344 and 41359, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41344 and 41359.
How to find the GCF of 41344 and 41359?
We will first find the prime factorization of 41344 and 41359. After we will calculate the factors of 41344 and 41359 and find the biggest common factor number .
Step-1: Prime Factorization of 41344
Prime factors of 41344 are 2, 17, 19. Prime factorization of 41344 in exponential form is:
41344 = 27 × 171 × 191
Step-2: Prime Factorization of 41359
Prime factors of 41359 are 59, 701. Prime factorization of 41359 in exponential form is:
41359 = 591 × 7011
Step-3: Factors of 41344
List of positive integer factors of 41344 that divides 41344 without a remainder.
1, 2, 4, 8, 16, 17, 19, 32, 34, 38, 64, 68, 76, 128, 136, 152, 272, 304, 323, 544, 608, 646, 1088, 1216, 1292, 2176, 2432, 2584, 5168, 10336, 20672
Step-4: Factors of 41359
List of positive integer factors of 41359 that divides 41344 without a remainder.
1, 59, 701
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 41344 and 41359. The biggest common factor number is the GCF number.
So the greatest common factor 41344 and 41359 is 1.
Also check out the Least Common Multiple of 41344 and 41359
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