What is the Greatest Common Factor of 4 and 80?
Greatest common factor (GCF) of 4 and 80 is 4.
GCF(4,80) = 4
We will now calculate the prime factors of 4 and 80, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4 and 80.
How to find the GCF of 4 and 80?
We will first find the prime factorization of 4 and 80. After we will calculate the factors of 4 and 80 and find the biggest common factor number .
Step-1: Prime Factorization of 4
Prime factors of 4 are 2. Prime factorization of 4 in exponential form is:
4 = 22
Step-2: Prime Factorization of 80
Prime factors of 80 are 2, 5. Prime factorization of 80 in exponential form is:
80 = 24 × 51
Step-3: Factors of 4
List of positive integer factors of 4 that divides 4 without a remainder.
1, 2
Step-4: Factors of 80
List of positive integer factors of 80 that divides 4 without a remainder.
1, 2, 4, 5, 8, 10, 16, 20, 40
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 4 and 80. The biggest common factor number is the GCF number.
So the greatest common factor 4 and 80 is 4.
Also check out the Least Common Multiple of 4 and 80