What is the Greatest Common Factor of 67368 and 67376?
Greatest common factor (GCF) of 67368 and 67376 is 8.
GCF(67368,67376) = 8
We will now calculate the prime factors of 67368 and 67376, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67368 and 67376.
How to find the GCF of 67368 and 67376?
We will first find the prime factorization of 67368 and 67376. After we will calculate the factors of 67368 and 67376 and find the biggest common factor number .
Step-1: Prime Factorization of 67368
Prime factors of 67368 are 2, 3, 7, 401. Prime factorization of 67368 in exponential form is:
67368 = 23 × 31 × 71 × 4011
Step-2: Prime Factorization of 67376
Prime factors of 67376 are 2, 4211. Prime factorization of 67376 in exponential form is:
67376 = 24 × 42111
Step-3: Factors of 67368
List of positive integer factors of 67368 that divides 67368 without a remainder.
1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168, 401, 802, 1203, 1604, 2406, 2807, 3208, 4812, 5614, 8421, 9624, 11228, 16842, 22456, 33684
Step-4: Factors of 67376
List of positive integer factors of 67376 that divides 67368 without a remainder.
1, 2, 4, 8, 16, 4211, 8422, 16844, 33688
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 67368 and 67376. The biggest common factor number is the GCF number.
So the greatest common factor 67368 and 67376 is 8.
Also check out the Least Common Multiple of 67368 and 67376
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