What is the Greatest Common Factor of 715 and 724?
Greatest common factor (GCF) of 715 and 724 is 1.
GCF(715,724) = 1
We will now calculate the prime factors of 715 and 724, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 715 and 724.
How to find the GCF of 715 and 724?
We will first find the prime factorization of 715 and 724. After we will calculate the factors of 715 and 724 and find the biggest common factor number .
Step-1: Prime Factorization of 715
Prime factors of 715 are 5, 11, 13. Prime factorization of 715 in exponential form is:
715 = 51 × 111 × 131
Step-2: Prime Factorization of 724
Prime factors of 724 are 2, 181. Prime factorization of 724 in exponential form is:
724 = 22 × 1811
Step-3: Factors of 715
List of positive integer factors of 715 that divides 715 without a remainder.
1, 5, 11, 13, 55, 65, 143
Step-4: Factors of 724
List of positive integer factors of 724 that divides 715 without a remainder.
1, 2, 4, 181, 362
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 715 and 724. The biggest common factor number is the GCF number.
So the greatest common factor 715 and 724 is 1.
Also check out the Least Common Multiple of 715 and 724
Related Greatest Common Factors of 715
- GCF of 715 and 719
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- GCF of 715 and 724
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- GCF of 715 and 731
- GCF of 715 and 732
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Related Greatest Common Factors of 724
- GCF of 724 and 728
- GCF of 724 and 729
- GCF of 724 and 730
- GCF of 724 and 731
- GCF of 724 and 732
- GCF of 724 and 733
- GCF of 724 and 734
- GCF of 724 and 735
- GCF of 724 and 736
- GCF of 724 and 737
- GCF of 724 and 738
- GCF of 724 and 739
- GCF of 724 and 740
- GCF of 724 and 741
- GCF of 724 and 742
- GCF of 724 and 743
- GCF of 724 and 744