What is the Greatest Common Factor of 35 and 54?
Greatest common factor (GCF) of 35 and 54 is 1.
GCF(35,54) = 1
We will now calculate the prime factors of 35 and 54, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35 and 54.
How to find the GCF of 35 and 54?
We will first find the prime factorization of 35 and 54. After we will calculate the factors of 35 and 54 and find the biggest common factor number .
Step-1: Prime Factorization of 35
Prime factors of 35 are 5, 7. Prime factorization of 35 in exponential form is:
35 = 51 × 71
Step-2: Prime Factorization of 54
Prime factors of 54 are 2, 3. Prime factorization of 54 in exponential form is:
54 = 21 × 33
Step-3: Factors of 35
List of positive integer factors of 35 that divides 35 without a remainder.
1, 5, 7
Step-4: Factors of 54
List of positive integer factors of 54 that divides 35 without a remainder.
1, 2, 3, 6, 9, 18, 27
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 35 and 54. The biggest common factor number is the GCF number.
So the greatest common factor 35 and 54 is 1.
Also check out the Least Common Multiple of 35 and 54