What is the Greatest Common Factor of 4732 and 4740?
Greatest common factor (GCF) of 4732 and 4740 is 4.
GCF(4732,4740) = 4
We will now calculate the prime factors of 4732 and 4740, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4732 and 4740.
How to find the GCF of 4732 and 4740?
We will first find the prime factorization of 4732 and 4740. After we will calculate the factors of 4732 and 4740 and find the biggest common factor number .
Step-1: 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-2: Prime Factorization of 4740
Prime factors of 4740 are 2, 3, 5, 79. Prime factorization of 4740 in exponential form is:
4740 = 22 × 31 × 51 × 791
Step-3: Factors of 4732
List of positive integer factors of 4732 that divides 4732 without a remainder.
1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 169, 182, 338, 364, 676, 1183, 2366
Step-4: Factors of 4740
List of positive integer factors of 4740 that divides 4732 without a remainder.
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 79, 158, 237, 316, 395, 474, 790, 948, 1185, 1580, 2370
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 4732 and 4740. The biggest common factor number is the GCF number.
So the greatest common factor 4732 and 4740 is 4.
Also check out the Least Common Multiple of 4732 and 4740
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Related Greatest Common Factors of 4740
- GCF of 4740 and 4744
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- GCF of 4740 and 4754
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- GCF of 4740 and 4756
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