What is the Greatest Common Factor of 21318 and 21332?
Greatest common factor (GCF) of 21318 and 21332 is 2.
GCF(21318,21332) = 2
We will now calculate the prime factors of 21318 and 21332, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21318 and 21332.
How to find the GCF of 21318 and 21332?
We will first find the prime factorization of 21318 and 21332. After we will calculate the factors of 21318 and 21332 and find the biggest common factor number .
Step-1: Prime Factorization of 21318
Prime factors of 21318 are 2, 3, 11, 17, 19. Prime factorization of 21318 in exponential form is:
21318 = 21 × 31 × 111 × 171 × 191
Step-2: Prime Factorization of 21332
Prime factors of 21332 are 2, 5333. Prime factorization of 21332 in exponential form is:
21332 = 22 × 53331
Step-3: Factors of 21318
List of positive integer factors of 21318 that divides 21318 without a remainder.
1, 2, 3, 6, 11, 17, 19, 22, 33, 34, 38, 51, 57, 66, 102, 114, 187, 209, 323, 374, 418, 561, 627, 646, 969, 1122, 1254, 1938, 3553, 7106, 10659
Step-4: Factors of 21332
List of positive integer factors of 21332 that divides 21318 without a remainder.
1, 2, 4, 5333, 10666
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 21318 and 21332. The biggest common factor number is the GCF number.
So the greatest common factor 21318 and 21332 is 2.
Also check out the Least Common Multiple of 21318 and 21332
Related Greatest Common Factors of 21318
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- GCF of 21318 and 21336
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Related Greatest Common Factors of 21332
- GCF of 21332 and 21336
- GCF of 21332 and 21337
- GCF of 21332 and 21338
- GCF of 21332 and 21339
- GCF of 21332 and 21340
- GCF of 21332 and 21341
- GCF of 21332 and 21342
- GCF of 21332 and 21343
- GCF of 21332 and 21344
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- GCF of 21332 and 21346
- GCF of 21332 and 21347
- GCF of 21332 and 21348
- GCF of 21332 and 21349
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