What is the Greatest Common Factor of 67008 and 67023?
Greatest common factor (GCF) of 67008 and 67023 is 3.
GCF(67008,67023) = 3
We will now calculate the prime factors of 67008 and 67023, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67008 and 67023.
How to find the GCF of 67008 and 67023?
We will first find the prime factorization of 67008 and 67023. After we will calculate the factors of 67008 and 67023 and find the biggest common factor number .
Step-1: Prime Factorization of 67008
Prime factors of 67008 are 2, 3, 349. Prime factorization of 67008 in exponential form is:
67008 = 26 × 31 × 3491
Step-2: Prime Factorization of 67023
Prime factors of 67023 are 3, 11, 677. Prime factorization of 67023 in exponential form is:
67023 = 32 × 111 × 6771
Step-3: Factors of 67008
List of positive integer factors of 67008 that divides 67008 without a remainder.
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192, 349, 698, 1047, 1396, 2094, 2792, 4188, 5584, 8376, 11168, 16752, 22336, 33504
Step-4: Factors of 67023
List of positive integer factors of 67023 that divides 67008 without a remainder.
1, 3, 9, 11, 33, 99, 677, 2031, 6093, 7447, 22341
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 67008 and 67023. The biggest common factor number is the GCF number.
So the greatest common factor 67008 and 67023 is 3.
Also check out the Least Common Multiple of 67008 and 67023
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