What is the Greatest Common Factor of 634 and 640?
Greatest common factor (GCF) of 634 and 640 is 2.
GCF(634,640) = 2
We will now calculate the prime factors of 634 and 640, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 634 and 640.
How to find the GCF of 634 and 640?
We will first find the prime factorization of 634 and 640. After we will calculate the factors of 634 and 640 and find the biggest common factor number .
Step-1: Prime Factorization of 634
Prime factors of 634 are 2, 317. Prime factorization of 634 in exponential form is:
634 = 21 × 3171
Step-2: Prime Factorization of 640
Prime factors of 640 are 2, 5. Prime factorization of 640 in exponential form is:
640 = 27 × 51
Step-3: Factors of 634
List of positive integer factors of 634 that divides 634 without a remainder.
1, 2, 317
Step-4: Factors of 640
List of positive integer factors of 640 that divides 634 without a remainder.
1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 128, 160, 320
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 634 and 640. The biggest common factor number is the GCF number.
So the greatest common factor 634 and 640 is 2.
Also check out the Least Common Multiple of 634 and 640
Related Greatest Common Factors of 634
- GCF of 634 and 638
- GCF of 634 and 639
- GCF of 634 and 640
- GCF of 634 and 641
- GCF of 634 and 642
- GCF of 634 and 643
- GCF of 634 and 644
- GCF of 634 and 645
- GCF of 634 and 646
- GCF of 634 and 647
- GCF of 634 and 648
- GCF of 634 and 649
- GCF of 634 and 650
- GCF of 634 and 651
- GCF of 634 and 652
- GCF of 634 and 653
- GCF of 634 and 654
Related Greatest Common Factors of 640
- GCF of 640 and 644
- GCF of 640 and 645
- GCF of 640 and 646
- GCF of 640 and 647
- GCF of 640 and 648
- GCF of 640 and 649
- GCF of 640 and 650
- GCF of 640 and 651
- GCF of 640 and 652
- GCF of 640 and 653
- GCF of 640 and 654
- GCF of 640 and 655
- GCF of 640 and 656
- GCF of 640 and 657
- GCF of 640 and 658
- GCF of 640 and 659
- GCF of 640 and 660