What is the Greatest Common Factor of 22341 and 22348?
Greatest common factor (GCF) of 22341 and 22348 is 1.
GCF(22341,22348) = 1
We will now calculate the prime factors of 22341 and 22348, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22341 and 22348.
How to find the GCF of 22341 and 22348?
We will first find the prime factorization of 22341 and 22348. After we will calculate the factors of 22341 and 22348 and find the biggest common factor number .
Step-1: Prime Factorization of 22341
Prime factors of 22341 are 3, 11, 677. Prime factorization of 22341 in exponential form is:
22341 = 31 × 111 × 6771
Step-2: Prime Factorization of 22348
Prime factors of 22348 are 2, 37, 151. Prime factorization of 22348 in exponential form is:
22348 = 22 × 371 × 1511
Step-3: Factors of 22341
List of positive integer factors of 22341 that divides 22341 without a remainder.
1, 3, 11, 33, 677, 2031, 7447
Step-4: Factors of 22348
List of positive integer factors of 22348 that divides 22341 without a remainder.
1, 2, 4, 37, 74, 148, 151, 302, 604, 5587, 11174
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 22341 and 22348. The biggest common factor number is the GCF number.
So the greatest common factor 22341 and 22348 is 1.
Also check out the Least Common Multiple of 22341 and 22348
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