What is the Greatest Common Factor of 10724 and 10734?
Greatest common factor (GCF) of 10724 and 10734 is 2.
GCF(10724,10734) = 2
We will now calculate the prime factors of 10724 and 10734, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10724 and 10734.
How to find the GCF of 10724 and 10734?
We will first find the prime factorization of 10724 and 10734. After we will calculate the factors of 10724 and 10734 and find the biggest common factor number .
Step-1: Prime Factorization of 10724
Prime factors of 10724 are 2, 7, 383. Prime factorization of 10724 in exponential form is:
10724 = 22 × 71 × 3831
Step-2: Prime Factorization of 10734
Prime factors of 10734 are 2, 3, 1789. Prime factorization of 10734 in exponential form is:
10734 = 21 × 31 × 17891
Step-3: Factors of 10724
List of positive integer factors of 10724 that divides 10724 without a remainder.
1, 2, 4, 7, 14, 28, 383, 766, 1532, 2681, 5362
Step-4: Factors of 10734
List of positive integer factors of 10734 that divides 10724 without a remainder.
1, 2, 3, 6, 1789, 3578, 5367
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 10724 and 10734. The biggest common factor number is the GCF number.
So the greatest common factor 10724 and 10734 is 2.
Also check out the Least Common Multiple of 10724 and 10734
Related Greatest Common Factors of 10724
- GCF of 10724 and 10728
- GCF of 10724 and 10729
- GCF of 10724 and 10730
- GCF of 10724 and 10731
- GCF of 10724 and 10732
- GCF of 10724 and 10733
- GCF of 10724 and 10734
- GCF of 10724 and 10735
- GCF of 10724 and 10736
- GCF of 10724 and 10737
- GCF of 10724 and 10738
- GCF of 10724 and 10739
- GCF of 10724 and 10740
- GCF of 10724 and 10741
- GCF of 10724 and 10742
- GCF of 10724 and 10743
- GCF of 10724 and 10744
Related Greatest Common Factors of 10734
- GCF of 10734 and 10738
- GCF of 10734 and 10739
- GCF of 10734 and 10740
- GCF of 10734 and 10741
- GCF of 10734 and 10742
- GCF of 10734 and 10743
- GCF of 10734 and 10744
- GCF of 10734 and 10745
- GCF of 10734 and 10746
- GCF of 10734 and 10747
- GCF of 10734 and 10748
- GCF of 10734 and 10749
- GCF of 10734 and 10750
- GCF of 10734 and 10751
- GCF of 10734 and 10752
- GCF of 10734 and 10753
- GCF of 10734 and 10754