What is the Greatest Common Factor of 72704 and 72723?
Greatest common factor (GCF) of 72704 and 72723 is 1.
GCF(72704,72723) = 1
We will now calculate the prime factors of 72704 and 72723, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72704 and 72723.
How to find the GCF of 72704 and 72723?
We will first find the prime factorization of 72704 and 72723. After we will calculate the factors of 72704 and 72723 and find the biggest common factor number .
Step-1: Prime Factorization of 72704
Prime factors of 72704 are 2, 71. Prime factorization of 72704 in exponential form is:
72704 = 210 × 711
Step-2: Prime Factorization of 72723
Prime factors of 72723 are 3, 7, 3463. Prime factorization of 72723 in exponential form is:
72723 = 31 × 71 × 34631
Step-3: Factors of 72704
List of positive integer factors of 72704 that divides 72704 without a remainder.
1, 2, 4, 8, 16, 32, 64, 71, 128, 142, 256, 284, 512, 568, 1024, 1136, 2272, 4544, 9088, 18176, 36352
Step-4: Factors of 72723
List of positive integer factors of 72723 that divides 72704 without a remainder.
1, 3, 7, 21, 3463, 10389, 24241
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 72704 and 72723. The biggest common factor number is the GCF number.
So the greatest common factor 72704 and 72723 is 1.
Also check out the Least Common Multiple of 72704 and 72723
Related Greatest Common Factors of 72704
- GCF of 72704 and 72708
- GCF of 72704 and 72709
- GCF of 72704 and 72710
- GCF of 72704 and 72711
- GCF of 72704 and 72712
- GCF of 72704 and 72713
- GCF of 72704 and 72714
- GCF of 72704 and 72715
- GCF of 72704 and 72716
- GCF of 72704 and 72717
- GCF of 72704 and 72718
- GCF of 72704 and 72719
- GCF of 72704 and 72720
- GCF of 72704 and 72721
- GCF of 72704 and 72722
- GCF of 72704 and 72723
- GCF of 72704 and 72724
Related Greatest Common Factors of 72723
- GCF of 72723 and 72727
- GCF of 72723 and 72728
- GCF of 72723 and 72729
- GCF of 72723 and 72730
- GCF of 72723 and 72731
- GCF of 72723 and 72732
- GCF of 72723 and 72733
- GCF of 72723 and 72734
- GCF of 72723 and 72735
- GCF of 72723 and 72736
- GCF of 72723 and 72737
- GCF of 72723 and 72738
- GCF of 72723 and 72739
- GCF of 72723 and 72740
- GCF of 72723 and 72741
- GCF of 72723 and 72742
- GCF of 72723 and 72743