What is the Greatest Common Factor of 11721 and 11738?
Greatest common factor (GCF) of 11721 and 11738 is 1.
GCF(11721,11738) = 1
We will now calculate the prime factors of 11721 and 11738, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11721 and 11738.
How to find the GCF of 11721 and 11738?
We will first find the prime factorization of 11721 and 11738. After we will calculate the factors of 11721 and 11738 and find the biggest common factor number .
Step-1: Prime Factorization of 11721
Prime factors of 11721 are 3, 3907. Prime factorization of 11721 in exponential form is:
11721 = 31 × 39071
Step-2: Prime Factorization of 11738
Prime factors of 11738 are 2, 5869. Prime factorization of 11738 in exponential form is:
11738 = 21 × 58691
Step-3: Factors of 11721
List of positive integer factors of 11721 that divides 11721 without a remainder.
1, 3, 3907
Step-4: Factors of 11738
List of positive integer factors of 11738 that divides 11721 without a remainder.
1, 2, 5869
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 11721 and 11738. The biggest common factor number is the GCF number.
So the greatest common factor 11721 and 11738 is 1.
Also check out the Least Common Multiple of 11721 and 11738
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Related Greatest Common Factors of 11738
- GCF of 11738 and 11742
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- GCF of 11738 and 11753
- GCF of 11738 and 11754
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