What is the Greatest Common Factor of 58677 and 58690?
Greatest common factor (GCF) of 58677 and 58690 is 1.
GCF(58677,58690) = 1
We will now calculate the prime factors of 58677 and 58690, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58677 and 58690.
How to find the GCF of 58677 and 58690?
We will first find the prime factorization of 58677 and 58690. After we will calculate the factors of 58677 and 58690 and find the biggest common factor number .
Step-1: Prime Factorization of 58677
Prime factors of 58677 are 3, 19559. Prime factorization of 58677 in exponential form is:
58677 = 31 × 195591
Step-2: 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-3: Factors of 58677
List of positive integer factors of 58677 that divides 58677 without a remainder.
1, 3, 19559
Step-4: Factors of 58690
List of positive integer factors of 58690 that divides 58677 without a remainder.
1, 2, 5, 10, 5869, 11738, 29345
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 58677 and 58690. The biggest common factor number is the GCF number.
So the greatest common factor 58677 and 58690 is 1.
Also check out the Least Common Multiple of 58677 and 58690
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