What is the Greatest Common Factor of 725 and 730?
Greatest common factor (GCF) of 725 and 730 is 5.
GCF(725,730) = 5
We will now calculate the prime factors of 725 and 730, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 725 and 730.
How to find the GCF of 725 and 730?
We will first find the prime factorization of 725 and 730. After we will calculate the factors of 725 and 730 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 730
Prime factors of 730 are 2, 5, 73. Prime factorization of 730 in exponential form is:
730 = 21 × 51 × 731
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 730
List of positive integer factors of 730 that divides 725 without a remainder.
1, 2, 5, 10, 73, 146, 365
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 725 and 730. The biggest common factor number is the GCF number.
So the greatest common factor 725 and 730 is 5.
Also check out the Least Common Multiple of 725 and 730
Related Greatest Common Factors of 725
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Related Greatest Common Factors of 730
- GCF of 730 and 734
- GCF of 730 and 735
- GCF of 730 and 736
- GCF of 730 and 737
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- GCF of 730 and 740
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- GCF of 730 and 745
- GCF of 730 and 746
- GCF of 730 and 747
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