What is the Greatest Common Factor of 468 and 476?
Greatest common factor (GCF) of 468 and 476 is 4.
GCF(468,476) = 4
We will now calculate the prime factors of 468 and 476, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 468 and 476.
How to find the GCF of 468 and 476?
We will first find the prime factorization of 468 and 476. After we will calculate the factors of 468 and 476 and find the biggest common factor number .
Step-1: Prime Factorization of 468
Prime factors of 468 are 2, 3, 13. Prime factorization of 468 in exponential form is:
468 = 22 × 32 × 131
Step-2: Prime Factorization of 476
Prime factors of 476 are 2, 7, 17. Prime factorization of 476 in exponential form is:
476 = 22 × 71 × 171
Step-3: Factors of 468
List of positive integer factors of 468 that divides 468 without a remainder.
1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234
Step-4: Factors of 476
List of positive integer factors of 476 that divides 468 without a remainder.
1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 468 and 476. The biggest common factor number is the GCF number.
So the greatest common factor 468 and 476 is 4.
Also check out the Least Common Multiple of 468 and 476
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