What is the Greatest Common Factor of 58690 and 58700?
Greatest common factor (GCF) of 58690 and 58700 is 10.
GCF(58690,58700) = 10
We will now calculate the prime factors of 58690 and 58700, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58690 and 58700.
How to find the GCF of 58690 and 58700?
We will first find the prime factorization of 58690 and 58700. After we will calculate the factors of 58690 and 58700 and find the biggest common factor number .
Step-1: Prime Factorization of 58690
Prime factors of 58690 are 2, 5, 5869. Prime factorization of 58690 in exponential form is:
58690 = 21 × 51 × 58691
Step-2: Prime Factorization of 58700
Prime factors of 58700 are 2, 5, 587. Prime factorization of 58700 in exponential form is:
58700 = 22 × 52 × 5871
Step-3: Factors of 58690
List of positive integer factors of 58690 that divides 58690 without a remainder.
1, 2, 5, 10, 5869, 11738, 29345
Step-4: Factors of 58700
List of positive integer factors of 58700 that divides 58690 without a remainder.
1, 2, 4, 5, 10, 20, 25, 50, 100, 587, 1174, 2348, 2935, 5870, 11740, 14675, 29350
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 58690 and 58700. The biggest common factor number is the GCF number.
So the greatest common factor 58690 and 58700 is 10.
Also check out the Least Common Multiple of 58690 and 58700
Related Greatest Common Factors of 58690
- GCF of 58690 and 58694
- GCF of 58690 and 58695
- GCF of 58690 and 58696
- GCF of 58690 and 58697
- GCF of 58690 and 58698
- GCF of 58690 and 58699
- GCF of 58690 and 58700
- GCF of 58690 and 58701
- GCF of 58690 and 58702
- GCF of 58690 and 58703
- GCF of 58690 and 58704
- GCF of 58690 and 58705
- GCF of 58690 and 58706
- GCF of 58690 and 58707
- GCF of 58690 and 58708
- GCF of 58690 and 58709
- GCF of 58690 and 58710
Related Greatest Common Factors of 58700
- GCF of 58700 and 58704
- GCF of 58700 and 58705
- GCF of 58700 and 58706
- GCF of 58700 and 58707
- GCF of 58700 and 58708
- GCF of 58700 and 58709
- GCF of 58700 and 58710
- GCF of 58700 and 58711
- GCF of 58700 and 58712
- GCF of 58700 and 58713
- GCF of 58700 and 58714
- GCF of 58700 and 58715
- GCF of 58700 and 58716
- GCF of 58700 and 58717
- GCF of 58700 and 58718
- GCF of 58700 and 58719
- GCF of 58700 and 58720