What is the Greatest Common Factor of 15869 and 15880?
Greatest common factor (GCF) of 15869 and 15880 is 1.
GCF(15869,15880) = 1
We will now calculate the prime factors of 15869 and 15880, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15869 and 15880.
How to find the GCF of 15869 and 15880?
We will first find the prime factorization of 15869 and 15880. After we will calculate the factors of 15869 and 15880 and find the biggest common factor number .
Step-1: Prime Factorization of 15869
Prime factors of 15869 are 7, 2267. Prime factorization of 15869 in exponential form is:
15869 = 71 × 22671
Step-2: Prime Factorization of 15880
Prime factors of 15880 are 2, 5, 397. Prime factorization of 15880 in exponential form is:
15880 = 23 × 51 × 3971
Step-3: Factors of 15869
List of positive integer factors of 15869 that divides 15869 without a remainder.
1, 7, 2267
Step-4: Factors of 15880
List of positive integer factors of 15880 that divides 15869 without a remainder.
1, 2, 4, 5, 8, 10, 20, 40, 397, 794, 1588, 1985, 3176, 3970, 7940
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 15869 and 15880. The biggest common factor number is the GCF number.
So the greatest common factor 15869 and 15880 is 1.
Also check out the Least Common Multiple of 15869 and 15880
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Related Greatest Common Factors of 15880
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