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What is the Greatest Common Factor of 3 and 5?

Greatest common factor (GCF) of 3 and 5 is 1.

GCF(3,5) = 1

We will now calculate the prime factors of 3 and 5, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3 and 5.

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How to find the GCF of 3 and 5?

We will first find the prime factorization of 3 and 5. After we will calculate the factors of 3 and 5 and find the biggest common factor number .

Step-1: Prime Factorization of 3

Prime factors of 3 are 3. Prime factorization of 3 in exponential form is:

3 = 31

Step-2: Prime Factorization of 5

Prime factors of 5 are 5. Prime factorization of 5 in exponential form is:

5 = 51

Step-3: Factors of 3

List of positive integer factors of 3 that divides 3 without a remainder.

1

Step-4: Factors of 5

List of positive integer factors of 5 that divides 3 without a remainder.

1

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3 and 5. The biggest common factor number is the GCF number.
So the greatest common factor 3 and 5 is 1.

Also check out the Least Common Multiple of 3 and 5