What is the Greatest Common Factor of 27677 and 27685?
Greatest common factor (GCF) of 27677 and 27685 is 1.
GCF(27677,27685) = 1
We will now calculate the prime factors of 27677 and 27685, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27677 and 27685.
How to find the GCF of 27677 and 27685?
We will first find the prime factorization of 27677 and 27685. After we will calculate the factors of 27677 and 27685 and find the biggest common factor number .
Step-1: Prime Factorization of 27677
Prime factors of 27677 are 13, 2129. Prime factorization of 27677 in exponential form is:
27677 = 131 × 21291
Step-2: Prime Factorization of 27685
Prime factors of 27685 are 5, 7, 113. Prime factorization of 27685 in exponential form is:
27685 = 51 × 72 × 1131
Step-3: Factors of 27677
List of positive integer factors of 27677 that divides 27677 without a remainder.
1, 13, 2129
Step-4: Factors of 27685
List of positive integer factors of 27685 that divides 27677 without a remainder.
1, 5, 7, 35, 49, 113, 245, 565, 791, 3955, 5537
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 27677 and 27685. The biggest common factor number is the GCF number.
So the greatest common factor 27677 and 27685 is 1.
Also check out the Least Common Multiple of 27677 and 27685
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