What is the Greatest Common Factor of 44349 and 44358?
Greatest common factor (GCF) of 44349 and 44358 is 3.
GCF(44349,44358) = 3
We will now calculate the prime factors of 44349 and 44358, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44349 and 44358.
How to find the GCF of 44349 and 44358?
We will first find the prime factorization of 44349 and 44358. After we will calculate the factors of 44349 and 44358 and find the biggest common factor number .
Step-1: Prime Factorization of 44349
Prime factors of 44349 are 3, 14783. Prime factorization of 44349 in exponential form is:
44349 = 31 × 147831
Step-2: Prime Factorization of 44358
Prime factors of 44358 are 2, 3, 7393. Prime factorization of 44358 in exponential form is:
44358 = 21 × 31 × 73931
Step-3: Factors of 44349
List of positive integer factors of 44349 that divides 44349 without a remainder.
1, 3, 14783
Step-4: Factors of 44358
List of positive integer factors of 44358 that divides 44349 without a remainder.
1, 2, 3, 6, 7393, 14786, 22179
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 44349 and 44358. The biggest common factor number is the GCF number.
So the greatest common factor 44349 and 44358 is 3.
Also check out the Least Common Multiple of 44349 and 44358
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