What is the Greatest Common Factor of 67206 and 67216?
Greatest common factor (GCF) of 67206 and 67216 is 2.
GCF(67206,67216) = 2
We will now calculate the prime factors of 67206 and 67216, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67206 and 67216.
How to find the GCF of 67206 and 67216?
We will first find the prime factorization of 67206 and 67216. After we will calculate the factors of 67206 and 67216 and find the biggest common factor number .
Step-1: Prime Factorization of 67206
Prime factors of 67206 are 2, 3, 23, 487. Prime factorization of 67206 in exponential form is:
67206 = 21 × 31 × 231 × 4871
Step-2: Prime Factorization of 67216
Prime factors of 67216 are 2, 4201. Prime factorization of 67216 in exponential form is:
67216 = 24 × 42011
Step-3: Factors of 67206
List of positive integer factors of 67206 that divides 67206 without a remainder.
1, 2, 3, 6, 23, 46, 69, 138, 487, 974, 1461, 2922, 11201, 22402, 33603
Step-4: Factors of 67216
List of positive integer factors of 67216 that divides 67206 without a remainder.
1, 2, 4, 8, 16, 4201, 8402, 16804, 33608
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 67206 and 67216. The biggest common factor number is the GCF number.
So the greatest common factor 67206 and 67216 is 2.
Also check out the Least Common Multiple of 67206 and 67216
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