What is the Greatest Common Factor of 7346 and 7359?
Greatest common factor (GCF) of 7346 and 7359 is 1.
GCF(7346,7359) = 1
We will now calculate the prime factors of 7346 and 7359, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7346 and 7359.
How to find the GCF of 7346 and 7359?
We will first find the prime factorization of 7346 and 7359. After we will calculate the factors of 7346 and 7359 and find the biggest common factor number .
Step-1: Prime Factorization of 7346
Prime factors of 7346 are 2, 3673. Prime factorization of 7346 in exponential form is:
7346 = 21 × 36731
Step-2: Prime Factorization of 7359
Prime factors of 7359 are 3, 11, 223. Prime factorization of 7359 in exponential form is:
7359 = 31 × 111 × 2231
Step-3: Factors of 7346
List of positive integer factors of 7346 that divides 7346 without a remainder.
1, 2, 3673
Step-4: Factors of 7359
List of positive integer factors of 7359 that divides 7346 without a remainder.
1, 3, 11, 33, 223, 669, 2453
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 7346 and 7359. The biggest common factor number is the GCF number.
So the greatest common factor 7346 and 7359 is 1.
Also check out the Least Common Multiple of 7346 and 7359
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