What is the Greatest Common Factor of 633 and 649?
Greatest common factor (GCF) of 633 and 649 is 1.
GCF(633,649) = 1
We will now calculate the prime factors of 633 and 649, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 633 and 649.
How to find the GCF of 633 and 649?
We will first find the prime factorization of 633 and 649. After we will calculate the factors of 633 and 649 and find the biggest common factor number .
Step-1: Prime Factorization of 633
Prime factors of 633 are 3, 211. Prime factorization of 633 in exponential form is:
633 = 31 × 2111
Step-2: Prime Factorization of 649
Prime factors of 649 are 11, 59. Prime factorization of 649 in exponential form is:
649 = 111 × 591
Step-3: Factors of 633
List of positive integer factors of 633 that divides 633 without a remainder.
1, 3, 211
Step-4: Factors of 649
List of positive integer factors of 649 that divides 633 without a remainder.
1, 11, 59
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 633 and 649. The biggest common factor number is the GCF number.
So the greatest common factor 633 and 649 is 1.
Also check out the Least Common Multiple of 633 and 649
Related Greatest Common Factors of 633
- GCF of 633 and 637
- GCF of 633 and 638
- GCF of 633 and 639
- GCF of 633 and 640
- GCF of 633 and 641
- GCF of 633 and 642
- GCF of 633 and 643
- GCF of 633 and 644
- GCF of 633 and 645
- GCF of 633 and 646
- GCF of 633 and 647
- GCF of 633 and 648
- GCF of 633 and 649
- GCF of 633 and 650
- GCF of 633 and 651
- GCF of 633 and 652
- GCF of 633 and 653
Related Greatest Common Factors of 649
- GCF of 649 and 653
- GCF of 649 and 654
- GCF of 649 and 655
- GCF of 649 and 656
- GCF of 649 and 657
- GCF of 649 and 658
- GCF of 649 and 659
- GCF of 649 and 660
- GCF of 649 and 661
- GCF of 649 and 662
- GCF of 649 and 663
- GCF of 649 and 664
- GCF of 649 and 665
- GCF of 649 and 666
- GCF of 649 and 667
- GCF of 649 and 668
- GCF of 649 and 669