What is the Greatest Common Factor of 73706 and 73710?
Greatest common factor (GCF) of 73706 and 73710 is 2.
GCF(73706,73710) = 2
We will now calculate the prime factors of 73706 and 73710, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73706 and 73710.
How to find the GCF of 73706 and 73710?
We will first find the prime factorization of 73706 and 73710. After we will calculate the factors of 73706 and 73710 and find the biggest common factor number .
Step-1: Prime Factorization of 73706
Prime factors of 73706 are 2, 137, 269. Prime factorization of 73706 in exponential form is:
73706 = 21 × 1371 × 2691
Step-2: Prime Factorization of 73710
Prime factors of 73710 are 2, 3, 5, 7, 13. Prime factorization of 73710 in exponential form is:
73710 = 21 × 34 × 51 × 71 × 131
Step-3: Factors of 73706
List of positive integer factors of 73706 that divides 73706 without a remainder.
1, 2, 137, 269, 274, 538, 36853
Step-4: Factors of 73710
List of positive integer factors of 73710 that divides 73706 without a remainder.
1, 2, 3, 5, 6, 7, 9, 10, 13, 14, 15, 18, 21, 26, 27, 30, 35, 39, 42, 45, 54, 63, 65, 70, 78, 81, 90, 91, 105, 117, 126, 130, 135, 162, 182, 189, 195, 210, 234, 270, 273, 315, 351, 378, 390, 405, 455, 546, 567, 585, 630, 702, 810, 819, 910, 945, 1053, 1134, 1170, 1365, 1638, 1755, 1890, 2106, 2457, 2730, 2835, 3510, 4095, 4914, 5265, 5670, 7371, 8190, 10530, 12285, 14742, 24570, 36855
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 73706 and 73710. The biggest common factor number is the GCF number.
So the greatest common factor 73706 and 73710 is 2.
Also check out the Least Common Multiple of 73706 and 73710
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