What is the Greatest Common Factor of 725 and 736?
Greatest common factor (GCF) of 725 and 736 is 1.
GCF(725,736) = 1
We will now calculate the prime factors of 725 and 736, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 725 and 736.
How to find the GCF of 725 and 736?
We will first find the prime factorization of 725 and 736. After we will calculate the factors of 725 and 736 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 736
Prime factors of 736 are 2, 23. Prime factorization of 736 in exponential form is:
736 = 25 × 231
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 736
List of positive integer factors of 736 that divides 725 without a remainder.
1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 725 and 736. The biggest common factor number is the GCF number.
So the greatest common factor 725 and 736 is 1.
Also check out the Least Common Multiple of 725 and 736
Related Greatest Common Factors of 725
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- GCF of 725 and 736
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- GCF of 725 and 741
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Related Greatest Common Factors of 736
- GCF of 736 and 740
- GCF of 736 and 741
- GCF of 736 and 742
- GCF of 736 and 743
- GCF of 736 and 744
- GCF of 736 and 745
- GCF of 736 and 746
- GCF of 736 and 747
- GCF of 736 and 748
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- GCF of 736 and 750
- GCF of 736 and 751
- GCF of 736 and 752
- GCF of 736 and 753
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