# What is the Greatest Common Factor of 98 and 116?

Greatest common factor (GCF) of 98 and 116 is **2**.

GCF(98,116) = 2

We will now calculate the prime factors of **98 and 116**, than find the greatest common factor *(greatest common divisor (gcd))* of the numbers by matching the biggest common factor of 98 and 116.

## How to find the GCF of 98 and 116?

We will first find the prime factorization of 98 and 116. After we will calculate the factors of 98 and 116 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 116

Prime factors of 116 are 2, 29. Prime factorization of **116** in exponential form is:

116 = 2^{2} × 29^{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 116

List of positive integer factors of 116 that divides 98 without a remainder.

1, 2, 4, 29, 58

#### Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98 and 116. The biggest common factor number is the **GCF** number.

So the **greatest common factor 98 and 116** is **2**.

Also check out the Least Common Multiple of 98 and 116

#### Related Greatest Common Factors of 98

- GCF of 98 and 102
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- GCF of 98 and 104
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- GCF of 98 and 116
- GCF of 98 and 117
- GCF of 98 and 118

#### Related Greatest Common Factors of 116

- GCF of 116 and 120
- GCF of 116 and 121
- GCF of 116 and 122
- GCF of 116 and 123
- GCF of 116 and 124
- GCF of 116 and 125
- GCF of 116 and 126
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- GCF of 116 and 129
- GCF of 116 and 130
- GCF of 116 and 131
- GCF of 116 and 132
- GCF of 116 and 133
- GCF of 116 and 134
- GCF of 116 and 135
- GCF of 116 and 136