What is the Greatest Common Factor of 670 and 676?
Greatest common factor (GCF) of 670 and 676 is 2.
GCF(670,676) = 2
We will now calculate the prime factors of 670 and 676, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 670 and 676.
How to find the GCF of 670 and 676?
We will first find the prime factorization of 670 and 676. After we will calculate the factors of 670 and 676 and find the biggest common factor number .
Step-1: Prime Factorization of 670
Prime factors of 670 are 2, 5, 67. Prime factorization of 670 in exponential form is:
670 = 21 × 51 × 671
Step-2: Prime Factorization of 676
Prime factors of 676 are 2, 13. Prime factorization of 676 in exponential form is:
676 = 22 × 132
Step-3: Factors of 670
List of positive integer factors of 670 that divides 670 without a remainder.
1, 2, 5, 10, 67, 134, 335
Step-4: Factors of 676
List of positive integer factors of 676 that divides 670 without a remainder.
1, 2, 4, 13, 26, 52, 169, 338
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 670 and 676. The biggest common factor number is the GCF number.
So the greatest common factor 670 and 676 is 2.
Also check out the Least Common Multiple of 670 and 676
Related Greatest Common Factors of 670
- GCF of 670 and 674
- GCF of 670 and 675
- GCF of 670 and 676
- GCF of 670 and 677
- GCF of 670 and 678
- GCF of 670 and 679
- GCF of 670 and 680
- GCF of 670 and 681
- GCF of 670 and 682
- GCF of 670 and 683
- GCF of 670 and 684
- GCF of 670 and 685
- GCF of 670 and 686
- GCF of 670 and 687
- GCF of 670 and 688
- GCF of 670 and 689
- GCF of 670 and 690
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