What is the Greatest Common Factor of 13092 and 13104?
Greatest common factor (GCF) of 13092 and 13104 is 12.
GCF(13092,13104) = 12
We will now calculate the prime factors of 13092 and 13104, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13092 and 13104.
How to find the GCF of 13092 and 13104?
We will first find the prime factorization of 13092 and 13104. After we will calculate the factors of 13092 and 13104 and find the biggest common factor number .
Step-1: Prime Factorization of 13092
Prime factors of 13092 are 2, 3, 1091. Prime factorization of 13092 in exponential form is:
13092 = 22 × 31 × 10911
Step-2: Prime Factorization of 13104
Prime factors of 13104 are 2, 3, 7, 13. Prime factorization of 13104 in exponential form is:
13104 = 24 × 32 × 71 × 131
Step-3: Factors of 13092
List of positive integer factors of 13092 that divides 13092 without a remainder.
1, 2, 3, 4, 6, 12, 1091, 2182, 3273, 4364, 6546
Step-4: Factors of 13104
List of positive integer factors of 13104 that divides 13092 without a remainder.
1, 2, 3, 4, 6, 7, 8, 9, 12, 13, 14, 16, 18, 21, 24, 26, 28, 36, 39, 42, 48, 52, 56, 63, 72, 78, 84, 91, 104, 112, 117, 126, 144, 156, 168, 182, 208, 234, 252, 273, 312, 336, 364, 468, 504, 546, 624, 728, 819, 936, 1008, 1092, 1456, 1638, 1872, 2184, 3276, 4368, 6552
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 13092 and 13104. The biggest common factor number is the GCF number.
So the greatest common factor 13092 and 13104 is 12.
Also check out the Least Common Multiple of 13092 and 13104
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