What is the Greatest Common Factor of 709 and 714?
Greatest common factor (GCF) of 709 and 714 is 1.
GCF(709,714) = 1
We will now calculate the prime factors of 709 and 714, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 709 and 714.
How to find the GCF of 709 and 714?
We will first find the prime factorization of 709 and 714. After we will calculate the factors of 709 and 714 and find the biggest common factor number .
Step-1: Prime Factorization of 709
Prime factors of 709 are 709. Prime factorization of 709 in exponential form is:
709 = 7091
Step-2: Prime Factorization of 714
Prime factors of 714 are 2, 3, 7, 17. Prime factorization of 714 in exponential form is:
714 = 21 × 31 × 71 × 171
Step-3: Factors of 709
List of positive integer factors of 709 that divides 709 without a remainder.
1
Step-4: Factors of 714
List of positive integer factors of 714 that divides 709 without a remainder.
1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 709 and 714. The biggest common factor number is the GCF number.
So the greatest common factor 709 and 714 is 1.
Also check out the Least Common Multiple of 709 and 714
Related Greatest Common Factors of 709
- GCF of 709 and 713
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- GCF of 709 and 721
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- GCF of 709 and 725
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Related Greatest Common Factors of 714
- GCF of 714 and 718
- GCF of 714 and 719
- GCF of 714 and 720
- GCF of 714 and 721
- GCF of 714 and 722
- GCF of 714 and 723
- GCF of 714 and 724
- GCF of 714 and 725
- GCF of 714 and 726
- GCF of 714 and 727
- GCF of 714 and 728
- GCF of 714 and 729
- GCF of 714 and 730
- GCF of 714 and 731
- GCF of 714 and 732
- GCF of 714 and 733
- GCF of 714 and 734