What is the Greatest Common Factor of 864 and 868?
Greatest common factor (GCF) of 864 and 868 is 4.
GCF(864,868) = 4
We will now calculate the prime factors of 864 and 868, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 864 and 868.
How to find the GCF of 864 and 868?
We will first find the prime factorization of 864 and 868. After we will calculate the factors of 864 and 868 and find the biggest common factor number .
Step-1: Prime Factorization of 864
Prime factors of 864 are 2, 3. Prime factorization of 864 in exponential form is:
864 = 25 × 33
Step-2: Prime Factorization of 868
Prime factors of 868 are 2, 7, 31. Prime factorization of 868 in exponential form is:
868 = 22 × 71 × 311
Step-3: Factors of 864
List of positive integer factors of 864 that divides 864 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432
Step-4: Factors of 868
List of positive integer factors of 868 that divides 864 without a remainder.
1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 864 and 868. The biggest common factor number is the GCF number.
So the greatest common factor 864 and 868 is 4.
Also check out the Least Common Multiple of 864 and 868
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