What is the Greatest Common Factor of 21216 and 21230?
Greatest common factor (GCF) of 21216 and 21230 is 2.
GCF(21216,21230) = 2
We will now calculate the prime factors of 21216 and 21230, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21216 and 21230.
How to find the GCF of 21216 and 21230?
We will first find the prime factorization of 21216 and 21230. After we will calculate the factors of 21216 and 21230 and find the biggest common factor number .
Step-1: Prime Factorization of 21216
Prime factors of 21216 are 2, 3, 13, 17. Prime factorization of 21216 in exponential form is:
21216 = 25 × 31 × 131 × 171
Step-2: Prime Factorization of 21230
Prime factors of 21230 are 2, 5, 11, 193. Prime factorization of 21230 in exponential form is:
21230 = 21 × 51 × 111 × 1931
Step-3: Factors of 21216
List of positive integer factors of 21216 that divides 21216 without a remainder.
1, 2, 3, 4, 6, 8, 12, 13, 16, 17, 24, 26, 32, 34, 39, 48, 51, 52, 68, 78, 96, 102, 104, 136, 156, 204, 208, 221, 272, 312, 408, 416, 442, 544, 624, 663, 816, 884, 1248, 1326, 1632, 1768, 2652, 3536, 5304, 7072, 10608
Step-4: Factors of 21230
List of positive integer factors of 21230 that divides 21216 without a remainder.
1, 2, 5, 10, 11, 22, 55, 110, 193, 386, 965, 1930, 2123, 4246, 10615
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 21216 and 21230. The biggest common factor number is the GCF number.
So the greatest common factor 21216 and 21230 is 2.
Also check out the Least Common Multiple of 21216 and 21230
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- GCF of 21230 and 21234
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