What is the Greatest Common Factor of 71700 and 71706?
Greatest common factor (GCF) of 71700 and 71706 is 6.
GCF(71700,71706) = 6
We will now calculate the prime factors of 71700 and 71706, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71700 and 71706.
How to find the GCF of 71700 and 71706?
We will first find the prime factorization of 71700 and 71706. After we will calculate the factors of 71700 and 71706 and find the biggest common factor number .
Step-1: Prime Factorization of 71700
Prime factors of 71700 are 2, 3, 5, 239. Prime factorization of 71700 in exponential form is:
71700 = 22 × 31 × 52 × 2391
Step-2: Prime Factorization of 71706
Prime factors of 71706 are 2, 3, 17, 19, 37. Prime factorization of 71706 in exponential form is:
71706 = 21 × 31 × 171 × 191 × 371
Step-3: Factors of 71700
List of positive integer factors of 71700 that divides 71700 without a remainder.
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 239, 300, 478, 717, 956, 1195, 1434, 2390, 2868, 3585, 4780, 5975, 7170, 11950, 14340, 17925, 23900, 35850
Step-4: Factors of 71706
List of positive integer factors of 71706 that divides 71700 without a remainder.
1, 2, 3, 6, 17, 19, 34, 37, 38, 51, 57, 74, 102, 111, 114, 222, 323, 629, 646, 703, 969, 1258, 1406, 1887, 1938, 2109, 3774, 4218, 11951, 23902, 35853
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 71700 and 71706. The biggest common factor number is the GCF number.
So the greatest common factor 71700 and 71706 is 6.
Also check out the Least Common Multiple of 71700 and 71706
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