What is the Greatest Common Factor of 689 and 698?
Greatest common factor (GCF) of 689 and 698 is 1.
GCF(689,698) = 1
We will now calculate the prime factors of 689 and 698, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 689 and 698.
How to find the GCF of 689 and 698?
We will first find the prime factorization of 689 and 698. After we will calculate the factors of 689 and 698 and find the biggest common factor number .
Step-1: Prime Factorization of 689
Prime factors of 689 are 13, 53. Prime factorization of 689 in exponential form is:
689 = 131 × 531
Step-2: Prime Factorization of 698
Prime factors of 698 are 2, 349. Prime factorization of 698 in exponential form is:
698 = 21 × 3491
Step-3: Factors of 689
List of positive integer factors of 689 that divides 689 without a remainder.
1, 13, 53
Step-4: Factors of 698
List of positive integer factors of 698 that divides 689 without a remainder.
1, 2, 349
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 689 and 698. The biggest common factor number is the GCF number.
So the greatest common factor 689 and 698 is 1.
Also check out the Least Common Multiple of 689 and 698
Related Greatest Common Factors of 689
- GCF of 689 and 693
- GCF of 689 and 694
- GCF of 689 and 695
- GCF of 689 and 696
- GCF of 689 and 697
- GCF of 689 and 698
- GCF of 689 and 699
- GCF of 689 and 700
- GCF of 689 and 701
- GCF of 689 and 702
- GCF of 689 and 703
- GCF of 689 and 704
- GCF of 689 and 705
- GCF of 689 and 706
- GCF of 689 and 707
- GCF of 689 and 708
- GCF of 689 and 709
Related Greatest Common Factors of 698
- GCF of 698 and 702
- GCF of 698 and 703
- GCF of 698 and 704
- GCF of 698 and 705
- GCF of 698 and 706
- GCF of 698 and 707
- GCF of 698 and 708
- GCF of 698 and 709
- GCF of 698 and 710
- GCF of 698 and 711
- GCF of 698 and 712
- GCF of 698 and 713
- GCF of 698 and 714
- GCF of 698 and 715
- GCF of 698 and 716
- GCF of 698 and 717
- GCF of 698 and 718