What is the Greatest Common Factor of 7683 and 7700?
Greatest common factor (GCF) of 7683 and 7700 is 1.
GCF(7683,7700) = 1
We will now calculate the prime factors of 7683 and 7700, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7683 and 7700.
How to find the GCF of 7683 and 7700?
We will first find the prime factorization of 7683 and 7700. After we will calculate the factors of 7683 and 7700 and find the biggest common factor number .
Step-1: Prime Factorization of 7683
Prime factors of 7683 are 3, 13, 197. Prime factorization of 7683 in exponential form is:
7683 = 31 × 131 × 1971
Step-2: Prime Factorization of 7700
Prime factors of 7700 are 2, 5, 7, 11. Prime factorization of 7700 in exponential form is:
7700 = 22 × 52 × 71 × 111
Step-3: Factors of 7683
List of positive integer factors of 7683 that divides 7683 without a remainder.
1, 3, 13, 39, 197, 591, 2561
Step-4: Factors of 7700
List of positive integer factors of 7700 that divides 7683 without a remainder.
1, 2, 4, 5, 7, 10, 11, 14, 20, 22, 25, 28, 35, 44, 50, 55, 70, 77, 100, 110, 140, 154, 175, 220, 275, 308, 350, 385, 550, 700, 770, 1100, 1540, 1925, 3850
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 7683 and 7700. The biggest common factor number is the GCF number.
So the greatest common factor 7683 and 7700 is 1.
Also check out the Least Common Multiple of 7683 and 7700
Related Greatest Common Factors of 7683
- GCF of 7683 and 7687
- GCF of 7683 and 7688
- GCF of 7683 and 7689
- GCF of 7683 and 7690
- GCF of 7683 and 7691
- GCF of 7683 and 7692
- GCF of 7683 and 7693
- GCF of 7683 and 7694
- GCF of 7683 and 7695
- GCF of 7683 and 7696
- GCF of 7683 and 7697
- GCF of 7683 and 7698
- GCF of 7683 and 7699
- GCF of 7683 and 7700
- GCF of 7683 and 7701
- GCF of 7683 and 7702
- GCF of 7683 and 7703
Related Greatest Common Factors of 7700
- GCF of 7700 and 7704
- GCF of 7700 and 7705
- GCF of 7700 and 7706
- GCF of 7700 and 7707
- GCF of 7700 and 7708
- GCF of 7700 and 7709
- GCF of 7700 and 7710
- GCF of 7700 and 7711
- GCF of 7700 and 7712
- GCF of 7700 and 7713
- GCF of 7700 and 7714
- GCF of 7700 and 7715
- GCF of 7700 and 7716
- GCF of 7700 and 7717
- GCF of 7700 and 7718
- GCF of 7700 and 7719
- GCF of 7700 and 7720