What is the Greatest Common Factor of 73325 and 73344?
Greatest common factor (GCF) of 73325 and 73344 is 1.
GCF(73325,73344) = 1
We will now calculate the prime factors of 73325 and 73344, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73325 and 73344.
How to find the GCF of 73325 and 73344?
We will first find the prime factorization of 73325 and 73344. After we will calculate the factors of 73325 and 73344 and find the biggest common factor number .
Step-1: Prime Factorization of 73325
Prime factors of 73325 are 5, 7, 419. Prime factorization of 73325 in exponential form is:
73325 = 52 × 71 × 4191
Step-2: Prime Factorization of 73344
Prime factors of 73344 are 2, 3, 191. Prime factorization of 73344 in exponential form is:
73344 = 27 × 31 × 1911
Step-3: Factors of 73325
List of positive integer factors of 73325 that divides 73325 without a remainder.
1, 5, 7, 25, 35, 175, 419, 2095, 2933, 10475, 14665
Step-4: Factors of 73344
List of positive integer factors of 73344 that divides 73325 without a remainder.
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 191, 192, 382, 384, 573, 764, 1146, 1528, 2292, 3056, 4584, 6112, 9168, 12224, 18336, 24448, 36672
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 73325 and 73344. The biggest common factor number is the GCF number.
So the greatest common factor 73325 and 73344 is 1.
Also check out the Least Common Multiple of 73325 and 73344
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