# What is the Greatest Common Factor of 98 and 110?

Greatest common factor (GCF) of 98 and 110 is **2**.

GCF(98,110) = 2

We will now calculate the prime factors of **98 and 110**, than find the greatest common factor *(greatest common divisor (gcd))* of the numbers by matching the biggest common factor of 98 and 110.

## How to find the GCF of 98 and 110?

We will first find the prime factorization of 98 and 110. After we will calculate the factors of 98 and 110 and find the biggest common factor number .

### Step-1: 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-2: Prime Factorization of 110

Prime factors of 110 are 2, 5, 11. Prime factorization of **110** in exponential form is:

110 = 2^{1} × 5^{1} × 11^{1}

### Step-3: Factors of 98

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

1, 2, 7, 14, 49

### Step-4: Factors of 110

List of positive integer factors of 110 that divides 98 without a remainder.

1, 2, 5, 10, 11, 22, 55

#### Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98 and 110. The biggest common factor number is the **GCF** number.

So the **greatest common factor 98 and 110** is **2**.

Also check out the Least Common Multiple of 98 and 110

#### Related Greatest Common Factors of 98

- GCF of 98 and 102
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#### Related Greatest Common Factors of 110

- GCF of 110 and 114
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