What is the Greatest Common Factor of 4739 and 4752?
Greatest common factor (GCF) of 4739 and 4752 is 1.
GCF(4739,4752) = 1
We will now calculate the prime factors of 4739 and 4752, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4739 and 4752.
How to find the GCF of 4739 and 4752?
We will first find the prime factorization of 4739 and 4752. After we will calculate the factors of 4739 and 4752 and find the biggest common factor number .
Step-1: Prime Factorization of 4739
Prime factors of 4739 are 7, 677. Prime factorization of 4739 in exponential form is:
4739 = 71 × 6771
Step-2: Prime Factorization of 4752
Prime factors of 4752 are 2, 3, 11. Prime factorization of 4752 in exponential form is:
4752 = 24 × 33 × 111
Step-3: Factors of 4739
List of positive integer factors of 4739 that divides 4739 without a remainder.
1, 7, 677
Step-4: Factors of 4752
List of positive integer factors of 4752 that divides 4739 without a remainder.
1, 2, 3, 4, 6, 8, 9, 11, 12, 16, 18, 22, 24, 27, 33, 36, 44, 48, 54, 66, 72, 88, 99, 108, 132, 144, 176, 198, 216, 264, 297, 396, 432, 528, 594, 792, 1188, 1584, 2376
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 4739 and 4752. The biggest common factor number is the GCF number.
So the greatest common factor 4739 and 4752 is 1.
Also check out the Least Common Multiple of 4739 and 4752
Related Greatest Common Factors of 4739
- GCF of 4739 and 4743
- GCF of 4739 and 4744
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- GCF of 4739 and 4746
- GCF of 4739 and 4747
- GCF of 4739 and 4748
- GCF of 4739 and 4749
- GCF of 4739 and 4750
- GCF of 4739 and 4751
- GCF of 4739 and 4752
- GCF of 4739 and 4753
- GCF of 4739 and 4754
- GCF of 4739 and 4755
- GCF of 4739 and 4756
- GCF of 4739 and 4757
- GCF of 4739 and 4758
- GCF of 4739 and 4759
Related Greatest Common Factors of 4752
- GCF of 4752 and 4756
- GCF of 4752 and 4757
- GCF of 4752 and 4758
- GCF of 4752 and 4759
- GCF of 4752 and 4760
- GCF of 4752 and 4761
- GCF of 4752 and 4762
- GCF of 4752 and 4763
- GCF of 4752 and 4764
- GCF of 4752 and 4765
- GCF of 4752 and 4766
- GCF of 4752 and 4767
- GCF of 4752 and 4768
- GCF of 4752 and 4769
- GCF of 4752 and 4770
- GCF of 4752 and 4771
- GCF of 4752 and 4772