What is the Greatest Common Factor of 672 and 688?
Greatest common factor (GCF) of 672 and 688 is 16.
GCF(672,688) = 16
We will now calculate the prime factors of 672 and 688, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 672 and 688.
How to find the GCF of 672 and 688?
We will first find the prime factorization of 672 and 688. After we will calculate the factors of 672 and 688 and find the biggest common factor number .
Step-1: Prime Factorization of 672
Prime factors of 672 are 2, 3, 7. Prime factorization of 672 in exponential form is:
672 = 25 × 31 × 71
Step-2: Prime Factorization of 688
Prime factors of 688 are 2, 43. Prime factorization of 688 in exponential form is:
688 = 24 × 431
Step-3: Factors of 672
List of positive integer factors of 672 that divides 672 without a remainder.
1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336
Step-4: Factors of 688
List of positive integer factors of 688 that divides 672 without a remainder.
1, 2, 4, 8, 16, 43, 86, 172, 344
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 672 and 688. The biggest common factor number is the GCF number.
So the greatest common factor 672 and 688 is 16.
Also check out the Least Common Multiple of 672 and 688
Related Greatest Common Factors of 672
- GCF of 672 and 676
- GCF of 672 and 677
- GCF of 672 and 678
- GCF of 672 and 679
- GCF of 672 and 680
- GCF of 672 and 681
- GCF of 672 and 682
- GCF of 672 and 683
- GCF of 672 and 684
- GCF of 672 and 685
- GCF of 672 and 686
- GCF of 672 and 687
- GCF of 672 and 688
- GCF of 672 and 689
- GCF of 672 and 690
- GCF of 672 and 691
- GCF of 672 and 692
Related Greatest Common Factors of 688
- GCF of 688 and 692
- GCF of 688 and 693
- GCF of 688 and 694
- GCF of 688 and 695
- GCF of 688 and 696
- GCF of 688 and 697
- GCF of 688 and 698
- GCF of 688 and 699
- GCF of 688 and 700
- GCF of 688 and 701
- GCF of 688 and 702
- GCF of 688 and 703
- GCF of 688 and 704
- GCF of 688 and 705
- GCF of 688 and 706
- GCF of 688 and 707
- GCF of 688 and 708