What is the Greatest Common Factor of 4734 and 4744?
Greatest common factor (GCF) of 4734 and 4744 is 2.
GCF(4734,4744) = 2
We will now calculate the prime factors of 4734 and 4744, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4734 and 4744.
How to find the GCF of 4734 and 4744?
We will first find the prime factorization of 4734 and 4744. After we will calculate the factors of 4734 and 4744 and find the biggest common factor number .
Step-1: 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-2: Prime Factorization of 4744
Prime factors of 4744 are 2, 593. Prime factorization of 4744 in exponential form is:
4744 = 23 × 5931
Step-3: Factors of 4734
List of positive integer factors of 4734 that divides 4734 without a remainder.
1, 2, 3, 6, 9, 18, 263, 526, 789, 1578, 2367
Step-4: Factors of 4744
List of positive integer factors of 4744 that divides 4734 without a remainder.
1, 2, 4, 8, 593, 1186, 2372
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 4734 and 4744. The biggest common factor number is the GCF number.
So the greatest common factor 4734 and 4744 is 2.
Also check out the Least Common Multiple of 4734 and 4744
Related Greatest Common Factors of 4734
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- GCF of 4734 and 4744
- GCF of 4734 and 4745
- GCF of 4734 and 4746
- GCF of 4734 and 4747
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- GCF of 4734 and 4750
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Related Greatest Common Factors of 4744
- GCF of 4744 and 4748
- GCF of 4744 and 4749
- GCF of 4744 and 4750
- GCF of 4744 and 4751
- GCF of 4744 and 4752
- GCF of 4744 and 4753
- GCF of 4744 and 4754
- GCF of 4744 and 4755
- GCF of 4744 and 4756
- GCF of 4744 and 4757
- GCF of 4744 and 4758
- GCF of 4744 and 4759
- GCF of 4744 and 4760
- GCF of 4744 and 4761
- GCF of 4744 and 4762
- GCF of 4744 and 4763
- GCF of 4744 and 4764