What is the Greatest Common Factor of 725 and 741?
Greatest common factor (GCF) of 725 and 741 is 1.
GCF(725,741) = 1
We will now calculate the prime factors of 725 and 741, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 725 and 741.
How to find the GCF of 725 and 741?
We will first find the prime factorization of 725 and 741. After we will calculate the factors of 725 and 741 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 741
Prime factors of 741 are 3, 13, 19. Prime factorization of 741 in exponential form is:
741 = 31 × 131 × 191
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 741
List of positive integer factors of 741 that divides 725 without a remainder.
1, 3, 13, 19, 39, 57, 247
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 725 and 741. The biggest common factor number is the GCF number.
So the greatest common factor 725 and 741 is 1.
Also check out the Least Common Multiple of 725 and 741
Related Greatest Common Factors of 725
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Related Greatest Common Factors of 741
- GCF of 741 and 745
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- GCF of 741 and 756
- GCF of 741 and 757
- GCF of 741 and 758
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