What is the Greatest Common Factor of 7349 and 7361?
Greatest common factor (GCF) of 7349 and 7361 is 1.
GCF(7349,7361) = 1
We will now calculate the prime factors of 7349 and 7361, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7349 and 7361.
How to find the GCF of 7349 and 7361?
We will first find the prime factorization of 7349 and 7361. After we will calculate the factors of 7349 and 7361 and find the biggest common factor number .
Step-1: Prime Factorization of 7349
Prime factors of 7349 are 7349. Prime factorization of 7349 in exponential form is:
7349 = 73491
Step-2: Prime Factorization of 7361
Prime factors of 7361 are 17, 433. Prime factorization of 7361 in exponential form is:
7361 = 171 × 4331
Step-3: Factors of 7349
List of positive integer factors of 7349 that divides 7349 without a remainder.
1
Step-4: Factors of 7361
List of positive integer factors of 7361 that divides 7349 without a remainder.
1, 17, 433
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 7349 and 7361. The biggest common factor number is the GCF number.
So the greatest common factor 7349 and 7361 is 1.
Also check out the Least Common Multiple of 7349 and 7361
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