What is the Greatest Common Factor of 725 and 731?
Greatest common factor (GCF) of 725 and 731 is 1.
GCF(725,731) = 1
We will now calculate the prime factors of 725 and 731, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 725 and 731.
How to find the GCF of 725 and 731?
We will first find the prime factorization of 725 and 731. After we will calculate the factors of 725 and 731 and find the biggest common factor number .
Step-1: Prime Factorization of 725
Prime factors of 725 are 5, 29. Prime factorization of 725 in exponential form is:
725 = 52 × 291
Step-2: Prime Factorization of 731
Prime factors of 731 are 17, 43. Prime factorization of 731 in exponential form is:
731 = 171 × 431
Step-3: Factors of 725
List of positive integer factors of 725 that divides 725 without a remainder.
1, 5, 25, 29, 145
Step-4: Factors of 731
List of positive integer factors of 731 that divides 725 without a remainder.
1, 17, 43
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 725 and 731. The biggest common factor number is the GCF number.
So the greatest common factor 725 and 731 is 1.
Also check out the Least Common Multiple of 725 and 731
Related Greatest Common Factors of 725
- GCF of 725 and 729
- GCF of 725 and 730
- GCF of 725 and 731
- GCF of 725 and 732
- GCF of 725 and 733
- GCF of 725 and 734
- GCF of 725 and 735
- GCF of 725 and 736
- GCF of 725 and 737
- GCF of 725 and 738
- GCF of 725 and 739
- GCF of 725 and 740
- GCF of 725 and 741
- GCF of 725 and 742
- GCF of 725 and 743
- GCF of 725 and 744
- GCF of 725 and 745
Related Greatest Common Factors of 731
- GCF of 731 and 735
- GCF of 731 and 736
- GCF of 731 and 737
- GCF of 731 and 738
- GCF of 731 and 739
- GCF of 731 and 740
- GCF of 731 and 741
- GCF of 731 and 742
- GCF of 731 and 743
- GCF of 731 and 744
- GCF of 731 and 745
- GCF of 731 and 746
- GCF of 731 and 747
- GCF of 731 and 748
- GCF of 731 and 749
- GCF of 731 and 750
- GCF of 731 and 751