# What is the Greatest Common Factor of 5 and 25?

Greatest common factor (GCF) of 5 and 25 is 5.

GCF(5,25) = 5

We will now calculate the prime factors of 5 and 25, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5 and 25.

GCF Calculator and
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## How to find the GCF of 5 and 25?

We will first find the prime factorization of 5 and 25. After we will calculate the factors of 5 and 25 and find the biggest common factor number .

### Step-1: Prime Factorization of 5

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

5 = 51

### Step-2: Prime Factorization of 25

Prime factors of 25 are 5. Prime factorization of 25 in exponential form is:

25 = 52

### Step-3: Factors of 5

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

1

### Step-4: Factors of 25

List of positive integer factors of 25 that divides 5 without a remainder.

1, 5

#### Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5 and 25. The biggest common factor number is the GCF number.
So the greatest common factor 5 and 25 is 5.

Also check out the Least Common Multiple of 5 and 25