What is the Greatest Common Factor of 678 and 690?
Greatest common factor (GCF) of 678 and 690 is 6.
GCF(678,690) = 6
We will now calculate the prime factors of 678 and 690, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 678 and 690.
How to find the GCF of 678 and 690?
We will first find the prime factorization of 678 and 690. After we will calculate the factors of 678 and 690 and find the biggest common factor number .
Step-1: Prime Factorization of 678
Prime factors of 678 are 2, 3, 113. Prime factorization of 678 in exponential form is:
678 = 21 × 31 × 1131
Step-2: Prime Factorization of 690
Prime factors of 690 are 2, 3, 5, 23. Prime factorization of 690 in exponential form is:
690 = 21 × 31 × 51 × 231
Step-3: Factors of 678
List of positive integer factors of 678 that divides 678 without a remainder.
1, 2, 3, 6, 113, 226, 339
Step-4: Factors of 690
List of positive integer factors of 690 that divides 678 without a remainder.
1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 678 and 690. The biggest common factor number is the GCF number.
So the greatest common factor 678 and 690 is 6.
Also check out the Least Common Multiple of 678 and 690
Related Greatest Common Factors of 678
- GCF of 678 and 682
- GCF of 678 and 683
- GCF of 678 and 684
- GCF of 678 and 685
- GCF of 678 and 686
- GCF of 678 and 687
- GCF of 678 and 688
- GCF of 678 and 689
- GCF of 678 and 690
- GCF of 678 and 691
- GCF of 678 and 692
- GCF of 678 and 693
- GCF of 678 and 694
- GCF of 678 and 695
- GCF of 678 and 696
- GCF of 678 and 697
- GCF of 678 and 698
Related Greatest Common Factors of 690
- GCF of 690 and 694
- GCF of 690 and 695
- GCF of 690 and 696
- GCF of 690 and 697
- GCF of 690 and 698
- GCF of 690 and 699
- GCF of 690 and 700
- GCF of 690 and 701
- GCF of 690 and 702
- GCF of 690 and 703
- GCF of 690 and 704
- GCF of 690 and 705
- GCF of 690 and 706
- GCF of 690 and 707
- GCF of 690 and 708
- GCF of 690 and 709
- GCF of 690 and 710