What is the Greatest Common Factor of 12290 and 12304?
Greatest common factor (GCF) of 12290 and 12304 is 2.
GCF(12290,12304) = 2
We will now calculate the prime factors of 12290 and 12304, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12290 and 12304.
How to find the GCF of 12290 and 12304?
We will first find the prime factorization of 12290 and 12304. After we will calculate the factors of 12290 and 12304 and find the biggest common factor number .
Step-1: Prime Factorization of 12290
Prime factors of 12290 are 2, 5, 1229. Prime factorization of 12290 in exponential form is:
12290 = 21 × 51 × 12291
Step-2: Prime Factorization of 12304
Prime factors of 12304 are 2, 769. Prime factorization of 12304 in exponential form is:
12304 = 24 × 7691
Step-3: Factors of 12290
List of positive integer factors of 12290 that divides 12290 without a remainder.
1, 2, 5, 10, 1229, 2458, 6145
Step-4: Factors of 12304
List of positive integer factors of 12304 that divides 12290 without a remainder.
1, 2, 4, 8, 16, 769, 1538, 3076, 6152
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 12290 and 12304. The biggest common factor number is the GCF number.
So the greatest common factor 12290 and 12304 is 2.
Also check out the Least Common Multiple of 12290 and 12304
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