What is the Greatest Common Factor of 7 and 13?
Greatest common factor (GCF) of 7 and 13 is 1.
GCF(7,13) = 1
We will now calculate the prime factors of 7 and 13, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7 and 13.
How to find the GCF of 7 and 13?
We will first find the prime factorization of 7 and 13. After we will calculate the factors of 7 and 13 and find the biggest common factor number .
Step-1: Prime Factorization of 7
Prime factors of 7 are 7. Prime factorization of 7 in exponential form is:
7 = 71
Step-2: Prime Factorization of 13
Prime factors of 13 are 13. Prime factorization of 13 in exponential form is:
13 = 131
Step-3: Factors of 7
List of positive integer factors of 7 that divides 7 without a remainder.
1
Step-4: Factors of 13
List of positive integer factors of 13 that divides 7 without a remainder.
1
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 7 and 13. The biggest common factor number is the GCF number.
So the greatest common factor 7 and 13 is 1.
Also check out the Least Common Multiple of 7 and 13