What is the Greatest Common Factor of 4718 and 4734?
Greatest common factor (GCF) of 4718 and 4734 is 2.
GCF(4718,4734) = 2
We will now calculate the prime factors of 4718 and 4734, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4718 and 4734.
How to find the GCF of 4718 and 4734?
We will first find the prime factorization of 4718 and 4734. After we will calculate the factors of 4718 and 4734 and find the biggest common factor number .
Step-1: Prime Factorization of 4718
Prime factors of 4718 are 2, 7, 337. Prime factorization of 4718 in exponential form is:
4718 = 21 × 71 × 3371
Step-2: Prime Factorization of 4734
Prime factors of 4734 are 2, 3, 263. Prime factorization of 4734 in exponential form is:
4734 = 21 × 32 × 2631
Step-3: Factors of 4718
List of positive integer factors of 4718 that divides 4718 without a remainder.
1, 2, 7, 14, 337, 674, 2359
Step-4: Factors of 4734
List of positive integer factors of 4734 that divides 4718 without a remainder.
1, 2, 3, 6, 9, 18, 263, 526, 789, 1578, 2367
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 4718 and 4734. The biggest common factor number is the GCF number.
So the greatest common factor 4718 and 4734 is 2.
Also check out the Least Common Multiple of 4718 and 4734
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Related Greatest Common Factors of 4734
- GCF of 4734 and 4738
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- GCF of 4734 and 4740
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- GCF of 4734 and 4744
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- GCF of 4734 and 4746
- GCF of 4734 and 4747
- GCF of 4734 and 4748
- GCF of 4734 and 4749
- GCF of 4734 and 4750
- GCF of 4734 and 4751
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