What is the Greatest Common Factor of 38021 and 38038?
Greatest common factor (GCF) of 38021 and 38038 is 1.
GCF(38021,38038) = 1
We will now calculate the prime factors of 38021 and 38038, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38021 and 38038.
How to find the GCF of 38021 and 38038?
We will first find the prime factorization of 38021 and 38038. After we will calculate the factors of 38021 and 38038 and find the biggest common factor number .
Step-1: Prime Factorization of 38021
Prime factors of 38021 are 193, 197. Prime factorization of 38021 in exponential form is:
38021 = 1931 × 1971
Step-2: Prime Factorization of 38038
Prime factors of 38038 are 2, 7, 11, 13, 19. Prime factorization of 38038 in exponential form is:
38038 = 21 × 71 × 111 × 131 × 191
Step-3: Factors of 38021
List of positive integer factors of 38021 that divides 38021 without a remainder.
1, 193, 197
Step-4: Factors of 38038
List of positive integer factors of 38038 that divides 38021 without a remainder.
1, 2, 7, 11, 13, 14, 19, 22, 26, 38, 77, 91, 133, 143, 154, 182, 209, 247, 266, 286, 418, 494, 1001, 1463, 1729, 2002, 2717, 2926, 3458, 5434, 19019
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 38021 and 38038. The biggest common factor number is the GCF number.
So the greatest common factor 38021 and 38038 is 1.
Also check out the Least Common Multiple of 38021 and 38038
Related Greatest Common Factors of 38021
- GCF of 38021 and 38025
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- GCF of 38021 and 38029
- GCF of 38021 and 38030
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- GCF of 38021 and 38032
- GCF of 38021 and 38033
- GCF of 38021 and 38034
- GCF of 38021 and 38035
- GCF of 38021 and 38036
- GCF of 38021 and 38037
- GCF of 38021 and 38038
- GCF of 38021 and 38039
- GCF of 38021 and 38040
- GCF of 38021 and 38041
Related Greatest Common Factors of 38038
- GCF of 38038 and 38042
- GCF of 38038 and 38043
- GCF of 38038 and 38044
- GCF of 38038 and 38045
- GCF of 38038 and 38046
- GCF of 38038 and 38047
- GCF of 38038 and 38048
- GCF of 38038 and 38049
- GCF of 38038 and 38050
- GCF of 38038 and 38051
- GCF of 38038 and 38052
- GCF of 38038 and 38053
- GCF of 38038 and 38054
- GCF of 38038 and 38055
- GCF of 38038 and 38056
- GCF of 38038 and 38057
- GCF of 38038 and 38058