What is the Greatest Common Factor of 68652 and 68664?
Greatest common factor (GCF) of 68652 and 68664 is 12.
GCF(68652,68664) = 12
We will now calculate the prime factors of 68652 and 68664, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68652 and 68664.
How to find the GCF of 68652 and 68664?
We will first find the prime factorization of 68652 and 68664. After we will calculate the factors of 68652 and 68664 and find the biggest common factor number .
Step-1: Prime Factorization of 68652
Prime factors of 68652 are 2, 3, 1907. Prime factorization of 68652 in exponential form is:
68652 = 22 × 32 × 19071
Step-2: Prime Factorization of 68664
Prime factors of 68664 are 2, 3, 2861. Prime factorization of 68664 in exponential form is:
68664 = 23 × 31 × 28611
Step-3: Factors of 68652
List of positive integer factors of 68652 that divides 68652 without a remainder.
1, 2, 3, 4, 6, 9, 12, 18, 36, 1907, 3814, 5721, 7628, 11442, 17163, 22884, 34326
Step-4: Factors of 68664
List of positive integer factors of 68664 that divides 68652 without a remainder.
1, 2, 3, 4, 6, 8, 12, 24, 2861, 5722, 8583, 11444, 17166, 22888, 34332
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 68652 and 68664. The biggest common factor number is the GCF number.
So the greatest common factor 68652 and 68664 is 12.
Also check out the Least Common Multiple of 68652 and 68664
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