What is the Greatest Common Factor of 714 and 722?
Greatest common factor (GCF) of 714 and 722 is 2.
GCF(714,722) = 2
We will now calculate the prime factors of 714 and 722, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 714 and 722.
How to find the GCF of 714 and 722?
We will first find the prime factorization of 714 and 722. After we will calculate the factors of 714 and 722 and find the biggest common factor number .
Step-1: 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-2: Prime Factorization of 722
Prime factors of 722 are 2, 19. Prime factorization of 722 in exponential form is:
722 = 21 × 192
Step-3: Factors of 714
List of positive integer factors of 714 that divides 714 without a remainder.
1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357
Step-4: Factors of 722
List of positive integer factors of 722 that divides 714 without a remainder.
1, 2, 19, 38, 361
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 714 and 722. The biggest common factor number is the GCF number.
So the greatest common factor 714 and 722 is 2.
Also check out the Least Common Multiple of 714 and 722
Related Greatest Common Factors of 714
- GCF of 714 and 718
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- 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
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- GCF of 714 and 730
- GCF of 714 and 731
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Related Greatest Common Factors of 722
- GCF of 722 and 726
- GCF of 722 and 727
- GCF of 722 and 728
- GCF of 722 and 729
- GCF of 722 and 730
- GCF of 722 and 731
- GCF of 722 and 732
- GCF of 722 and 733
- GCF of 722 and 734
- GCF of 722 and 735
- GCF of 722 and 736
- GCF of 722 and 737
- GCF of 722 and 738
- GCF of 722 and 739
- GCF of 722 and 740
- GCF of 722 and 741
- GCF of 722 and 742