What is the Greatest Common Factor of 13902 and 13910?
Greatest common factor (GCF) of 13902 and 13910 is 2.
GCF(13902,13910) = 2
We will now calculate the prime factors of 13902 and 13910, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13902 and 13910.
How to find the GCF of 13902 and 13910?
We will first find the prime factorization of 13902 and 13910. After we will calculate the factors of 13902 and 13910 and find the biggest common factor number .
Step-1: Prime Factorization of 13902
Prime factors of 13902 are 2, 3, 7, 331. Prime factorization of 13902 in exponential form is:
13902 = 21 × 31 × 71 × 3311
Step-2: Prime Factorization of 13910
Prime factors of 13910 are 2, 5, 13, 107. Prime factorization of 13910 in exponential form is:
13910 = 21 × 51 × 131 × 1071
Step-3: Factors of 13902
List of positive integer factors of 13902 that divides 13902 without a remainder.
1, 2, 3, 6, 7, 14, 21, 42, 331, 662, 993, 1986, 2317, 4634, 6951
Step-4: Factors of 13910
List of positive integer factors of 13910 that divides 13902 without a remainder.
1, 2, 5, 10, 13, 26, 65, 107, 130, 214, 535, 1070, 1391, 2782, 6955
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 13902 and 13910. The biggest common factor number is the GCF number.
So the greatest common factor 13902 and 13910 is 2.
Also check out the Least Common Multiple of 13902 and 13910
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