What is the Greatest Common Factor of 4716 and 4732?
Greatest common factor (GCF) of 4716 and 4732 is 4.
GCF(4716,4732) = 4
We will now calculate the prime factors of 4716 and 4732, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4716 and 4732.
How to find the GCF of 4716 and 4732?
We will first find the prime factorization of 4716 and 4732. After we will calculate the factors of 4716 and 4732 and find the biggest common factor number .
Step-1: Prime Factorization of 4716
Prime factors of 4716 are 2, 3, 131. Prime factorization of 4716 in exponential form is:
4716 = 22 × 32 × 1311
Step-2: Prime Factorization of 4732
Prime factors of 4732 are 2, 7, 13. Prime factorization of 4732 in exponential form is:
4732 = 22 × 71 × 132
Step-3: Factors of 4716
List of positive integer factors of 4716 that divides 4716 without a remainder.
1, 2, 3, 4, 6, 9, 12, 18, 36, 131, 262, 393, 524, 786, 1179, 1572, 2358
Step-4: Factors of 4732
List of positive integer factors of 4732 that divides 4716 without a remainder.
1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 169, 182, 338, 364, 676, 1183, 2366
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 4716 and 4732. The biggest common factor number is the GCF number.
So the greatest common factor 4716 and 4732 is 4.
Also check out the Least Common Multiple of 4716 and 4732
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Related Greatest Common Factors of 4732
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- GCF of 4732 and 4748
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