What is the Greatest Common Factor of 13870 and 13874?
Greatest common factor (GCF) of 13870 and 13874 is 2.
GCF(13870,13874) = 2
We will now calculate the prime factors of 13870 and 13874, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13870 and 13874.
How to find the GCF of 13870 and 13874?
We will first find the prime factorization of 13870 and 13874. After we will calculate the factors of 13870 and 13874 and find the biggest common factor number .
Step-1: Prime Factorization of 13870
Prime factors of 13870 are 2, 5, 19, 73. Prime factorization of 13870 in exponential form is:
13870 = 21 × 51 × 191 × 731
Step-2: Prime Factorization of 13874
Prime factors of 13874 are 2, 7, 991. Prime factorization of 13874 in exponential form is:
13874 = 21 × 71 × 9911
Step-3: Factors of 13870
List of positive integer factors of 13870 that divides 13870 without a remainder.
1, 2, 5, 10, 19, 38, 73, 95, 146, 190, 365, 730, 1387, 2774, 6935
Step-4: Factors of 13874
List of positive integer factors of 13874 that divides 13870 without a remainder.
1, 2, 7, 14, 991, 1982, 6937
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 13870 and 13874. The biggest common factor number is the GCF number.
So the greatest common factor 13870 and 13874 is 2.
Also check out the Least Common Multiple of 13870 and 13874
Related Greatest Common Factors of 13870
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Related Greatest Common Factors of 13874
- GCF of 13874 and 13878
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