# What is the Greatest Common Factor of 122 and 134?

Greatest common factor (GCF) of 122 and 134 is **2**.

GCF(122,134) = 2

We will now calculate the prime factors of **122 and 134**, than find the greatest common factor *(greatest common divisor (gcd))* of the numbers by matching the biggest common factor of 122 and 134.

## How to find the GCF of 122 and 134?

We will first find the prime factorization of 122 and 134. After we will calculate the factors of 122 and 134 and find the biggest common factor number .

### Step-1: Prime Factorization of 122

Prime factors of 122 are 2, 61. Prime factorization of **122** in exponential form is:

122 = 2^{1} × 61^{1}

### Step-2: Prime Factorization of 134

Prime factors of 134 are 2, 67. Prime factorization of **134** in exponential form is:

134 = 2^{1} × 67^{1}

### Step-3: Factors of 122

List of positive integer factors of 122 that divides 122 without a remainder.

1, 2, 61

### Step-4: Factors of 134

List of positive integer factors of 134 that divides 122 without a remainder.

1, 2, 67

#### Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 122 and 134. The biggest common factor number is the **GCF** number.

So the **greatest common factor 122 and 134** is **2**.

Also check out the Least Common Multiple of 122 and 134

#### Related Greatest Common Factors of 122

- GCF of 122 and 126
- GCF of 122 and 127
- GCF of 122 and 128
- GCF of 122 and 129
- GCF of 122 and 130
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- GCF of 122 and 132
- GCF of 122 and 133
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- GCF of 122 and 135
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#### Related Greatest Common Factors of 134

- GCF of 134 and 138
- GCF of 134 and 139
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- GCF of 134 and 142
- GCF of 134 and 143
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- GCF of 134 and 147
- GCF of 134 and 148
- GCF of 134 and 149
- GCF of 134 and 150
- GCF of 134 and 151
- GCF of 134 and 152
- GCF of 134 and 153
- GCF of 134 and 154