What is the Greatest Common Factor of 14840 and 14847?
Greatest common factor (GCF) of 14840 and 14847 is 7.
GCF(14840,14847) = 7
We will now calculate the prime factors of 14840 and 14847, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14840 and 14847.
How to find the GCF of 14840 and 14847?
We will first find the prime factorization of 14840 and 14847. After we will calculate the factors of 14840 and 14847 and find the biggest common factor number .
Step-1: Prime Factorization of 14840
Prime factors of 14840 are 2, 5, 7, 53. Prime factorization of 14840 in exponential form is:
14840 = 23 × 51 × 71 × 531
Step-2: Prime Factorization of 14847
Prime factors of 14847 are 3, 7, 101. Prime factorization of 14847 in exponential form is:
14847 = 31 × 72 × 1011
Step-3: Factors of 14840
List of positive integer factors of 14840 that divides 14840 without a remainder.
1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 53, 56, 70, 106, 140, 212, 265, 280, 371, 424, 530, 742, 1060, 1484, 1855, 2120, 2968, 3710, 7420
Step-4: Factors of 14847
List of positive integer factors of 14847 that divides 14840 without a remainder.
1, 3, 7, 21, 49, 101, 147, 303, 707, 2121, 4949
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 14840 and 14847. The biggest common factor number is the GCF number.
So the greatest common factor 14840 and 14847 is 7.
Also check out the Least Common Multiple of 14840 and 14847
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