# What is the Greatest Common Factor of 78 and 98?

Greatest common factor (GCF) of 78 and 98 is **2**.

GCF(78,98) = 2

We will now calculate the prime factors of **78 and 98**, than find the greatest common factor *(greatest common divisor (gcd))* of the numbers by matching the biggest common factor of 78 and 98.

## How to find the GCF of 78 and 98?

We will first find the prime factorization of 78 and 98. After we will calculate the factors of 78 and 98 and find the biggest common factor number .

### Step-1: Prime Factorization of 78

Prime factors of 78 are 2, 3, 13. Prime factorization of **78** in exponential form is:

78 = 2^{1} × 3^{1} × 13^{1}

### Step-2: Prime Factorization of 98

Prime factors of 98 are 2, 7. Prime factorization of **98** in exponential form is:

98 = 2^{1} × 7^{2}

### Step-3: Factors of 78

List of positive integer factors of 78 that divides 78 without a remainder.

1, 2, 3, 6, 13, 26, 39

### Step-4: Factors of 98

List of positive integer factors of 98 that divides 78 without a remainder.

1, 2, 7, 14, 49

#### Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78 and 98. The biggest common factor number is the **GCF** number.

So the **greatest common factor 78 and 98** is **2**.

Also check out the Least Common Multiple of 78 and 98

#### Related Greatest Common Factors of 78

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