What is the Greatest Common Factor of 642 and 660?
Greatest common factor (GCF) of 642 and 660 is 6.
GCF(642,660) = 6
We will now calculate the prime factors of 642 and 660, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 642 and 660.
How to find the GCF of 642 and 660?
We will first find the prime factorization of 642 and 660. After we will calculate the factors of 642 and 660 and find the biggest common factor number .
Step-1: Prime Factorization of 642
Prime factors of 642 are 2, 3, 107. Prime factorization of 642 in exponential form is:
642 = 21 × 31 × 1071
Step-2: Prime Factorization of 660
Prime factors of 660 are 2, 3, 5, 11. Prime factorization of 660 in exponential form is:
660 = 22 × 31 × 51 × 111
Step-3: Factors of 642
List of positive integer factors of 642 that divides 642 without a remainder.
1, 2, 3, 6, 107, 214, 321
Step-4: Factors of 660
List of positive integer factors of 660 that divides 642 without a remainder.
1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 642 and 660. The biggest common factor number is the GCF number.
So the greatest common factor 642 and 660 is 6.
Also check out the Least Common Multiple of 642 and 660
Related Greatest Common Factors of 642
- GCF of 642 and 646
- GCF of 642 and 647
- GCF of 642 and 648
- GCF of 642 and 649
- GCF of 642 and 650
- GCF of 642 and 651
- GCF of 642 and 652
- GCF of 642 and 653
- GCF of 642 and 654
- GCF of 642 and 655
- GCF of 642 and 656
- GCF of 642 and 657
- GCF of 642 and 658
- GCF of 642 and 659
- GCF of 642 and 660
- GCF of 642 and 661
- GCF of 642 and 662
Related Greatest Common Factors of 660
- GCF of 660 and 664
- GCF of 660 and 665
- GCF of 660 and 666
- GCF of 660 and 667
- GCF of 660 and 668
- GCF of 660 and 669
- GCF of 660 and 670
- GCF of 660 and 671
- GCF of 660 and 672
- GCF of 660 and 673
- GCF of 660 and 674
- GCF of 660 and 675
- GCF of 660 and 676
- GCF of 660 and 677
- GCF of 660 and 678
- GCF of 660 and 679
- GCF of 660 and 680