# What is the Greatest Common Factor of 98 and 117?

Greatest common factor (GCF) of 98 and 117 is **1**.

GCF(98,117) = 1

We will now calculate the prime factors of **98 and 117**, than find the greatest common factor *(greatest common divisor (gcd))* of the numbers by matching the biggest common factor of 98 and 117.

## How to find the GCF of 98 and 117?

We will first find the prime factorization of 98 and 117. After we will calculate the factors of 98 and 117 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 117

Prime factors of 117 are 3, 13. Prime factorization of **117** in exponential form is:

117 = 3^{2} × 13^{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 117

List of positive integer factors of 117 that divides 98 without a remainder.

1, 3, 9, 13, 39

#### Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98 and 117. The biggest common factor number is the **GCF** number.

So the **greatest common factor 98 and 117** is **1**.

Also check out the Least Common Multiple of 98 and 117

#### Related Greatest Common Factors of 98

- GCF of 98 and 102
- GCF of 98 and 103
- GCF of 98 and 104
- GCF of 98 and 105
- GCF of 98 and 106
- GCF of 98 and 107
- GCF of 98 and 108
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- GCF of 98 and 116
- GCF of 98 and 117
- GCF of 98 and 118

#### Related Greatest Common Factors of 117

- GCF of 117 and 121
- GCF of 117 and 122
- GCF of 117 and 123
- GCF of 117 and 124
- GCF of 117 and 125
- GCF of 117 and 126
- GCF of 117 and 127
- GCF of 117 and 128
- GCF of 117 and 129
- GCF of 117 and 130
- GCF of 117 and 131
- GCF of 117 and 132
- GCF of 117 and 133
- GCF of 117 and 134
- GCF of 117 and 135
- GCF of 117 and 136
- GCF of 117 and 137