What is the Greatest Common Factor of 14 and 35?
Greatest common factor (GCF) of 14 and 35 is 7.
GCF(14,35) = 7
We will now calculate the prime factors of 14 and 35, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14 and 35.
How to find the GCF of 14 and 35?
We will first find the prime factorization of 14 and 35. After we will calculate the factors of 14 and 35 and find the biggest common factor number .
Step-1: Prime Factorization of 14
Prime factors of 14 are 2, 7. Prime factorization of 14 in exponential form is:
14 = 21 × 71
Step-2: Prime Factorization of 35
Prime factors of 35 are 5, 7. Prime factorization of 35 in exponential form is:
35 = 51 × 71
Step-3: Factors of 14
List of positive integer factors of 14 that divides 14 without a remainder.
1, 2, 7
Step-4: Factors of 35
List of positive integer factors of 35 that divides 14 without a remainder.
1, 5, 7
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 14 and 35. The biggest common factor number is the GCF number.
So the greatest common factor 14 and 35 is 7.
Also check out the Least Common Multiple of 14 and 35