What is the Greatest Common Factor of 14280 and 14292?
Greatest common factor (GCF) of 14280 and 14292 is 12.
GCF(14280,14292) = 12
We will now calculate the prime factors of 14280 and 14292, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14280 and 14292.
How to find the GCF of 14280 and 14292?
We will first find the prime factorization of 14280 and 14292. After we will calculate the factors of 14280 and 14292 and find the biggest common factor number .
Step-1: Prime Factorization of 14280
Prime factors of 14280 are 2, 3, 5, 7, 17. Prime factorization of 14280 in exponential form is:
14280 = 23 × 31 × 51 × 71 × 171
Step-2: Prime Factorization of 14292
Prime factors of 14292 are 2, 3, 397. Prime factorization of 14292 in exponential form is:
14292 = 22 × 32 × 3971
Step-3: Factors of 14280
List of positive integer factors of 14280 that divides 14280 without a remainder.
1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 17, 20, 21, 24, 28, 30, 34, 35, 40, 42, 51, 56, 60, 68, 70, 84, 85, 102, 105, 119, 120, 136, 140, 168, 170, 204, 210, 238, 255, 280, 340, 357, 408, 420, 476, 510, 595, 680, 714, 840, 952, 1020, 1190, 1428, 1785, 2040, 2380, 2856, 3570, 4760, 7140
Step-4: Factors of 14292
List of positive integer factors of 14292 that divides 14280 without a remainder.
1, 2, 3, 4, 6, 9, 12, 18, 36, 397, 794, 1191, 1588, 2382, 3573, 4764, 7146
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 14280 and 14292. The biggest common factor number is the GCF number.
So the greatest common factor 14280 and 14292 is 12.
Also check out the Least Common Multiple of 14280 and 14292
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