What is the Greatest Common Factor of 725 and 734?
Greatest common factor (GCF) of 725 and 734 is 1.
GCF(725,734) = 1
We will now calculate the prime factors of 725 and 734, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 725 and 734.
How to find the GCF of 725 and 734?
We will first find the prime factorization of 725 and 734. After we will calculate the factors of 725 and 734 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 734
Prime factors of 734 are 2, 367. Prime factorization of 734 in exponential form is:
734 = 21 × 3671
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 734
List of positive integer factors of 734 that divides 725 without a remainder.
1, 2, 367
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 725 and 734. The biggest common factor number is the GCF number.
So the greatest common factor 725 and 734 is 1.
Also check out the Least Common Multiple of 725 and 734
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 734
- GCF of 734 and 738
- GCF of 734 and 739
- GCF of 734 and 740
- GCF of 734 and 741
- GCF of 734 and 742
- GCF of 734 and 743
- GCF of 734 and 744
- GCF of 734 and 745
- GCF of 734 and 746
- GCF of 734 and 747
- GCF of 734 and 748
- GCF of 734 and 749
- GCF of 734 and 750
- GCF of 734 and 751
- GCF of 734 and 752
- GCF of 734 and 753
- GCF of 734 and 754