What is the Greatest Common Factor of 6228 and 6239?
Greatest common factor (GCF) of 6228 and 6239 is 1.
GCF(6228,6239) = 1
We will now calculate the prime factors of 6228 and 6239, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6228 and 6239.
How to find the GCF of 6228 and 6239?
We will first find the prime factorization of 6228 and 6239. After we will calculate the factors of 6228 and 6239 and find the biggest common factor number .
Step-1: Prime Factorization of 6228
Prime factors of 6228 are 2, 3, 173. Prime factorization of 6228 in exponential form is:
6228 = 22 × 32 × 1731
Step-2: Prime Factorization of 6239
Prime factors of 6239 are 17, 367. Prime factorization of 6239 in exponential form is:
6239 = 171 × 3671
Step-3: Factors of 6228
List of positive integer factors of 6228 that divides 6228 without a remainder.
1, 2, 3, 4, 6, 9, 12, 18, 36, 173, 346, 519, 692, 1038, 1557, 2076, 3114
Step-4: Factors of 6239
List of positive integer factors of 6239 that divides 6228 without a remainder.
1, 17, 367
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 6228 and 6239. The biggest common factor number is the GCF number.
So the greatest common factor 6228 and 6239 is 1.
Also check out the Least Common Multiple of 6228 and 6239
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