What is the Greatest Common Factor of 31677 and 31682?
Greatest common factor (GCF) of 31677 and 31682 is 1.
GCF(31677,31682) = 1
We will now calculate the prime factors of 31677 and 31682, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31677 and 31682.
How to find the GCF of 31677 and 31682?
We will first find the prime factorization of 31677 and 31682. After we will calculate the factors of 31677 and 31682 and find the biggest common factor number .
Step-1: Prime Factorization of 31677
Prime factors of 31677 are 3, 10559. Prime factorization of 31677 in exponential form is:
31677 = 31 × 105591
Step-2: Prime Factorization of 31682
Prime factors of 31682 are 2, 7, 31, 73. Prime factorization of 31682 in exponential form is:
31682 = 21 × 71 × 311 × 731
Step-3: Factors of 31677
List of positive integer factors of 31677 that divides 31677 without a remainder.
1, 3, 10559
Step-4: Factors of 31682
List of positive integer factors of 31682 that divides 31677 without a remainder.
1, 2, 7, 14, 31, 62, 73, 146, 217, 434, 511, 1022, 2263, 4526, 15841
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 31677 and 31682. The biggest common factor number is the GCF number.
So the greatest common factor 31677 and 31682 is 1.
Also check out the Least Common Multiple of 31677 and 31682
Related Greatest Common Factors of 31677
- GCF of 31677 and 31681
- GCF of 31677 and 31682
- GCF of 31677 and 31683
- GCF of 31677 and 31684
- GCF of 31677 and 31685
- GCF of 31677 and 31686
- GCF of 31677 and 31687
- GCF of 31677 and 31688
- GCF of 31677 and 31689
- GCF of 31677 and 31690
- GCF of 31677 and 31691
- GCF of 31677 and 31692
- GCF of 31677 and 31693
- GCF of 31677 and 31694
- GCF of 31677 and 31695
- GCF of 31677 and 31696
- GCF of 31677 and 31697
Related Greatest Common Factors of 31682
- GCF of 31682 and 31686
- GCF of 31682 and 31687
- GCF of 31682 and 31688
- GCF of 31682 and 31689
- GCF of 31682 and 31690
- GCF of 31682 and 31691
- GCF of 31682 and 31692
- GCF of 31682 and 31693
- GCF of 31682 and 31694
- GCF of 31682 and 31695
- GCF of 31682 and 31696
- GCF of 31682 and 31697
- GCF of 31682 and 31698
- GCF of 31682 and 31699
- GCF of 31682 and 31700
- GCF of 31682 and 31701
- GCF of 31682 and 31702