What is the Greatest Common Factor of 65 and 72?
Greatest common factor (GCF) of 65 and 72 is 1.
GCF(65,72) = 1
We will now calculate the prime factors of 65 and 72, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65 and 72.
How to find the GCF of 65 and 72?
We will first find the prime factorization of 65 and 72. After we will calculate the factors of 65 and 72 and find the biggest common factor number .
Step-1: Prime Factorization of 65
Prime factors of 65 are 5, 13. Prime factorization of 65 in exponential form is:
65 = 51 × 131
Step-2: Prime Factorization of 72
Prime factors of 72 are 2, 3. Prime factorization of 72 in exponential form is:
72 = 23 × 32
Step-3: Factors of 65
List of positive integer factors of 65 that divides 65 without a remainder.
1, 5, 13
Step-4: Factors of 72
List of positive integer factors of 72 that divides 65 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 65 and 72. The biggest common factor number is the GCF number.
So the greatest common factor 65 and 72 is 1.
Also check out the Least Common Multiple of 65 and 72