What is the Greatest Common Factor of 38889 and 38906?
Greatest common factor (GCF) of 38889 and 38906 is 1.
GCF(38889,38906) = 1
We will now calculate the prime factors of 38889 and 38906, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38889 and 38906.
How to find the GCF of 38889 and 38906?
We will first find the prime factorization of 38889 and 38906. After we will calculate the factors of 38889 and 38906 and find the biggest common factor number .
Step-1: Prime Factorization of 38889
Prime factors of 38889 are 3, 29, 149. Prime factorization of 38889 in exponential form is:
38889 = 32 × 291 × 1491
Step-2: Prime Factorization of 38906
Prime factors of 38906 are 2, 7, 397. Prime factorization of 38906 in exponential form is:
38906 = 21 × 72 × 3971
Step-3: Factors of 38889
List of positive integer factors of 38889 that divides 38889 without a remainder.
1, 3, 9, 29, 87, 149, 261, 447, 1341, 4321, 12963
Step-4: Factors of 38906
List of positive integer factors of 38906 that divides 38889 without a remainder.
1, 2, 7, 14, 49, 98, 397, 794, 2779, 5558, 19453
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 38889 and 38906. The biggest common factor number is the GCF number.
So the greatest common factor 38889 and 38906 is 1.
Also check out the Least Common Multiple of 38889 and 38906
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