What is the Greatest Common Factor of 667 and 680?
Greatest common factor (GCF) of 667 and 680 is 1.
GCF(667,680) = 1
We will now calculate the prime factors of 667 and 680, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 667 and 680.
How to find the GCF of 667 and 680?
We will first find the prime factorization of 667 and 680. After we will calculate the factors of 667 and 680 and find the biggest common factor number .
Step-1: Prime Factorization of 667
Prime factors of 667 are 23, 29. Prime factorization of 667 in exponential form is:
667 = 231 × 291
Step-2: Prime Factorization of 680
Prime factors of 680 are 2, 5, 17. Prime factorization of 680 in exponential form is:
680 = 23 × 51 × 171
Step-3: Factors of 667
List of positive integer factors of 667 that divides 667 without a remainder.
1, 23, 29
Step-4: Factors of 680
List of positive integer factors of 680 that divides 667 without a remainder.
1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 667 and 680. The biggest common factor number is the GCF number.
So the greatest common factor 667 and 680 is 1.
Also check out the Least Common Multiple of 667 and 680
Related Greatest Common Factors of 667
- GCF of 667 and 671
- GCF of 667 and 672
- GCF of 667 and 673
- GCF of 667 and 674
- GCF of 667 and 675
- GCF of 667 and 676
- GCF of 667 and 677
- GCF of 667 and 678
- GCF of 667 and 679
- GCF of 667 and 680
- GCF of 667 and 681
- GCF of 667 and 682
- GCF of 667 and 683
- GCF of 667 and 684
- GCF of 667 and 685
- GCF of 667 and 686
- GCF of 667 and 687
Related Greatest Common Factors of 680
- GCF of 680 and 684
- GCF of 680 and 685
- GCF of 680 and 686
- GCF of 680 and 687
- GCF of 680 and 688
- GCF of 680 and 689
- GCF of 680 and 690
- GCF of 680 and 691
- GCF of 680 and 692
- GCF of 680 and 693
- GCF of 680 and 694
- GCF of 680 and 695
- GCF of 680 and 696
- GCF of 680 and 697
- GCF of 680 and 698
- GCF of 680 and 699
- GCF of 680 and 700