What is the Greatest Common Factor of 648 and 658?
Greatest common factor (GCF) of 648 and 658 is 2.
GCF(648,658) = 2
We will now calculate the prime factors of 648 and 658, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 648 and 658.
How to find the GCF of 648 and 658?
We will first find the prime factorization of 648 and 658. After we will calculate the factors of 648 and 658 and find the biggest common factor number .
Step-1: Prime Factorization of 648
Prime factors of 648 are 2, 3. Prime factorization of 648 in exponential form is:
648 = 23 × 34
Step-2: Prime Factorization of 658
Prime factors of 658 are 2, 7, 47. Prime factorization of 658 in exponential form is:
658 = 21 × 71 × 471
Step-3: Factors of 648
List of positive integer factors of 648 that divides 648 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324
Step-4: Factors of 658
List of positive integer factors of 658 that divides 648 without a remainder.
1, 2, 7, 14, 47, 94, 329
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 648 and 658. The biggest common factor number is the GCF number.
So the greatest common factor 648 and 658 is 2.
Also check out the Least Common Multiple of 648 and 658
Related Greatest Common Factors of 648
- GCF of 648 and 652
- GCF of 648 and 653
- GCF of 648 and 654
- GCF of 648 and 655
- GCF of 648 and 656
- GCF of 648 and 657
- GCF of 648 and 658
- GCF of 648 and 659
- GCF of 648 and 660
- GCF of 648 and 661
- GCF of 648 and 662
- GCF of 648 and 663
- GCF of 648 and 664
- GCF of 648 and 665
- GCF of 648 and 666
- GCF of 648 and 667
- GCF of 648 and 668
Related Greatest Common Factors of 658
- GCF of 658 and 662
- GCF of 658 and 663
- GCF of 658 and 664
- GCF of 658 and 665
- GCF of 658 and 666
- GCF of 658 and 667
- GCF of 658 and 668
- GCF of 658 and 669
- GCF of 658 and 670
- GCF of 658 and 671
- GCF of 658 and 672
- GCF of 658 and 673
- GCF of 658 and 674
- GCF of 658 and 675
- GCF of 658 and 676
- GCF of 658 and 677
- GCF of 658 and 678