What is the Greatest Common Factor of 38635 and 38645?
Greatest common factor (GCF) of 38635 and 38645 is 5.
GCF(38635,38645) = 5
We will now calculate the prime factors of 38635 and 38645, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38635 and 38645.
How to find the GCF of 38635 and 38645?
We will first find the prime factorization of 38635 and 38645. After we will calculate the factors of 38635 and 38645 and find the biggest common factor number .
Step-1: Prime Factorization of 38635
Prime factors of 38635 are 5, 7727. Prime factorization of 38635 in exponential form is:
38635 = 51 × 77271
Step-2: Prime Factorization of 38645
Prime factors of 38645 are 5, 59, 131. Prime factorization of 38645 in exponential form is:
38645 = 51 × 591 × 1311
Step-3: Factors of 38635
List of positive integer factors of 38635 that divides 38635 without a remainder.
1, 5, 7727
Step-4: Factors of 38645
List of positive integer factors of 38645 that divides 38635 without a remainder.
1, 5, 59, 131, 295, 655, 7729
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 38635 and 38645. The biggest common factor number is the GCF number.
So the greatest common factor 38635 and 38645 is 5.
Also check out the Least Common Multiple of 38635 and 38645
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- GCF of 38635 and 38645
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Related Greatest Common Factors of 38645
- GCF of 38645 and 38649
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- GCF of 38645 and 38651
- GCF of 38645 and 38652
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- GCF of 38645 and 38654
- GCF of 38645 and 38655
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