What is the Greatest Common Factor of 13996 and 14015?
Greatest common factor (GCF) of 13996 and 14015 is 1.
GCF(13996,14015) = 1
We will now calculate the prime factors of 13996 and 14015, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13996 and 14015.
How to find the GCF of 13996 and 14015?
We will first find the prime factorization of 13996 and 14015. After we will calculate the factors of 13996 and 14015 and find the biggest common factor number .
Step-1: Prime Factorization of 13996
Prime factors of 13996 are 2, 3499. Prime factorization of 13996 in exponential form is:
13996 = 22 × 34991
Step-2: Prime Factorization of 14015
Prime factors of 14015 are 5, 2803. Prime factorization of 14015 in exponential form is:
14015 = 51 × 28031
Step-3: Factors of 13996
List of positive integer factors of 13996 that divides 13996 without a remainder.
1, 2, 4, 3499, 6998
Step-4: Factors of 14015
List of positive integer factors of 14015 that divides 13996 without a remainder.
1, 5, 2803
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 13996 and 14015. The biggest common factor number is the GCF number.
So the greatest common factor 13996 and 14015 is 1.
Also check out the Least Common Multiple of 13996 and 14015
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