What is the Greatest Common Factor of 7668 and 7676?
Greatest common factor (GCF) of 7668 and 7676 is 4.
GCF(7668,7676) = 4
We will now calculate the prime factors of 7668 and 7676, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7668 and 7676.
How to find the GCF of 7668 and 7676?
We will first find the prime factorization of 7668 and 7676. After we will calculate the factors of 7668 and 7676 and find the biggest common factor number .
Step-1: Prime Factorization of 7668
Prime factors of 7668 are 2, 3, 71. Prime factorization of 7668 in exponential form is:
7668 = 22 × 33 × 711
Step-2: Prime Factorization of 7676
Prime factors of 7676 are 2, 19, 101. Prime factorization of 7676 in exponential form is:
7676 = 22 × 191 × 1011
Step-3: Factors of 7668
List of positive integer factors of 7668 that divides 7668 without a remainder.
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 71, 108, 142, 213, 284, 426, 639, 852, 1278, 1917, 2556, 3834
Step-4: Factors of 7676
List of positive integer factors of 7676 that divides 7668 without a remainder.
1, 2, 4, 19, 38, 76, 101, 202, 404, 1919, 3838
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 7668 and 7676. The biggest common factor number is the GCF number.
So the greatest common factor 7668 and 7676 is 4.
Also check out the Least Common Multiple of 7668 and 7676
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Related Greatest Common Factors of 7676
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