What is the Greatest Common Factor of 17 and 36?
Greatest common factor (GCF) of 17 and 36 is 1.
GCF(17,36) = 1
We will now calculate the prime factors of 17 and 36, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17 and 36.
How to find the GCF of 17 and 36?
We will first find the prime factorization of 17 and 36. After we will calculate the factors of 17 and 36 and find the biggest common factor number .
Step-1: Prime Factorization of 17
Prime factors of 17 are 17. Prime factorization of 17 in exponential form is:
17 = 171
Step-2: Prime Factorization of 36
Prime factors of 36 are 2, 3. Prime factorization of 36 in exponential form is:
36 = 22 × 32
Step-3: Factors of 17
List of positive integer factors of 17 that divides 17 without a remainder.
1
Step-4: Factors of 36
List of positive integer factors of 36 that divides 17 without a remainder.
1, 2, 3, 4, 6, 9, 12, 18
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 17 and 36. The biggest common factor number is the GCF number.
So the greatest common factor 17 and 36 is 1.
Also check out the Least Common Multiple of 17 and 36