What is the Greatest Common Factor of 686 and 706?
Greatest common factor (GCF) of 686 and 706 is 2.
GCF(686,706) = 2
We will now calculate the prime factors of 686 and 706, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 686 and 706.
How to find the GCF of 686 and 706?
We will first find the prime factorization of 686 and 706. After we will calculate the factors of 686 and 706 and find the biggest common factor number .
Step-1: Prime Factorization of 686
Prime factors of 686 are 2, 7. Prime factorization of 686 in exponential form is:
686 = 21 × 73
Step-2: Prime Factorization of 706
Prime factors of 706 are 2, 353. Prime factorization of 706 in exponential form is:
706 = 21 × 3531
Step-3: Factors of 686
List of positive integer factors of 686 that divides 686 without a remainder.
1, 2, 7, 14, 49, 98, 343
Step-4: Factors of 706
List of positive integer factors of 706 that divides 686 without a remainder.
1, 2, 353
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 686 and 706. The biggest common factor number is the GCF number.
So the greatest common factor 686 and 706 is 2.
Also check out the Least Common Multiple of 686 and 706
Related Greatest Common Factors of 686
- GCF of 686 and 690
- GCF of 686 and 691
- GCF of 686 and 692
- GCF of 686 and 693
- GCF of 686 and 694
- GCF of 686 and 695
- GCF of 686 and 696
- GCF of 686 and 697
- GCF of 686 and 698
- GCF of 686 and 699
- GCF of 686 and 700
- GCF of 686 and 701
- GCF of 686 and 702
- GCF of 686 and 703
- GCF of 686 and 704
- GCF of 686 and 705
- GCF of 686 and 706
Related Greatest Common Factors of 706
- GCF of 706 and 710
- GCF of 706 and 711
- GCF of 706 and 712
- GCF of 706 and 713
- GCF of 706 and 714
- GCF of 706 and 715
- GCF of 706 and 716
- GCF of 706 and 717
- GCF of 706 and 718
- GCF of 706 and 719
- GCF of 706 and 720
- GCF of 706 and 721
- GCF of 706 and 722
- GCF of 706 and 723
- GCF of 706 and 724
- GCF of 706 and 725
- GCF of 706 and 726