What is the Greatest Common Factor of 676 and 682?
Greatest common factor (GCF) of 676 and 682 is 2.
GCF(676,682) = 2
We will now calculate the prime factors of 676 and 682, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 676 and 682.
How to find the GCF of 676 and 682?
We will first find the prime factorization of 676 and 682. After we will calculate the factors of 676 and 682 and find the biggest common factor number .
Step-1: Prime Factorization of 676
Prime factors of 676 are 2, 13. Prime factorization of 676 in exponential form is:
676 = 22 × 132
Step-2: Prime Factorization of 682
Prime factors of 682 are 2, 11, 31. Prime factorization of 682 in exponential form is:
682 = 21 × 111 × 311
Step-3: Factors of 676
List of positive integer factors of 676 that divides 676 without a remainder.
1, 2, 4, 13, 26, 52, 169, 338
Step-4: Factors of 682
List of positive integer factors of 682 that divides 676 without a remainder.
1, 2, 11, 22, 31, 62, 341
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 676 and 682. The biggest common factor number is the GCF number.
So the greatest common factor 676 and 682 is 2.
Also check out the Least Common Multiple of 676 and 682
Related Greatest Common Factors of 676
- GCF of 676 and 680
- GCF of 676 and 681
- GCF of 676 and 682
- GCF of 676 and 683
- GCF of 676 and 684
- GCF of 676 and 685
- GCF of 676 and 686
- GCF of 676 and 687
- GCF of 676 and 688
- GCF of 676 and 689
- GCF of 676 and 690
- GCF of 676 and 691
- GCF of 676 and 692
- GCF of 676 and 693
- GCF of 676 and 694
- GCF of 676 and 695
- GCF of 676 and 696
Related Greatest Common Factors of 682
- GCF of 682 and 686
- GCF of 682 and 687
- GCF of 682 and 688
- GCF of 682 and 689
- GCF of 682 and 690
- GCF of 682 and 691
- GCF of 682 and 692
- GCF of 682 and 693
- GCF of 682 and 694
- GCF of 682 and 695
- GCF of 682 and 696
- GCF of 682 and 697
- GCF of 682 and 698
- GCF of 682 and 699
- GCF of 682 and 700
- GCF of 682 and 701
- GCF of 682 and 702