What is the Greatest Common Factor of 21228 and 21245?
Greatest common factor (GCF) of 21228 and 21245 is 1.
GCF(21228,21245) = 1
We will now calculate the prime factors of 21228 and 21245, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21228 and 21245.
How to find the GCF of 21228 and 21245?
We will first find the prime factorization of 21228 and 21245. After we will calculate the factors of 21228 and 21245 and find the biggest common factor number .
Step-1: Prime Factorization of 21228
Prime factors of 21228 are 2, 3, 29, 61. Prime factorization of 21228 in exponential form is:
21228 = 22 × 31 × 291 × 611
Step-2: Prime Factorization of 21245
Prime factors of 21245 are 5, 7, 607. Prime factorization of 21245 in exponential form is:
21245 = 51 × 71 × 6071
Step-3: Factors of 21228
List of positive integer factors of 21228 that divides 21228 without a remainder.
1, 2, 3, 4, 6, 12, 29, 58, 61, 87, 116, 122, 174, 183, 244, 348, 366, 732, 1769, 3538, 5307, 7076, 10614
Step-4: Factors of 21245
List of positive integer factors of 21245 that divides 21228 without a remainder.
1, 5, 7, 35, 607, 3035, 4249
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 21228 and 21245. The biggest common factor number is the GCF number.
So the greatest common factor 21228 and 21245 is 1.
Also check out the Least Common Multiple of 21228 and 21245
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