What is the Greatest Common Factor of 11830 and 11837?
Greatest common factor (GCF) of 11830 and 11837 is 7.
GCF(11830,11837) = 7
We will now calculate the prime factors of 11830 and 11837, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11830 and 11837.
How to find the GCF of 11830 and 11837?
We will first find the prime factorization of 11830 and 11837. After we will calculate the factors of 11830 and 11837 and find the biggest common factor number .
Step-1: Prime Factorization of 11830
Prime factors of 11830 are 2, 5, 7, 13. Prime factorization of 11830 in exponential form is:
11830 = 21 × 51 × 71 × 132
Step-2: Prime Factorization of 11837
Prime factors of 11837 are 7, 19, 89. Prime factorization of 11837 in exponential form is:
11837 = 71 × 191 × 891
Step-3: Factors of 11830
List of positive integer factors of 11830 that divides 11830 without a remainder.
1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 130, 169, 182, 338, 455, 845, 910, 1183, 1690, 2366, 5915
Step-4: Factors of 11837
List of positive integer factors of 11837 that divides 11830 without a remainder.
1, 7, 19, 89, 133, 623, 1691
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 11830 and 11837. The biggest common factor number is the GCF number.
So the greatest common factor 11830 and 11837 is 7.
Also check out the Least Common Multiple of 11830 and 11837
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Related Greatest Common Factors of 11837
- GCF of 11837 and 11841
- GCF of 11837 and 11842
- GCF of 11837 and 11843
- GCF of 11837 and 11844
- GCF of 11837 and 11845
- GCF of 11837 and 11846
- GCF of 11837 and 11847
- GCF of 11837 and 11848
- GCF of 11837 and 11849
- GCF of 11837 and 11850
- GCF of 11837 and 11851
- GCF of 11837 and 11852
- GCF of 11837 and 11853
- GCF of 11837 and 11854
- GCF of 11837 and 11855
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