# What is the Greatest Common Factor of 141 and 154?

Greatest common factor (GCF) of 141 and 154 is 1.

GCF(141,154) = 1

We will now calculate the prime factors of 141 and 154, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 141 and 154.

GCF Calculator and
and

## How to find the GCF of 141 and 154?

We will first find the prime factorization of 141 and 154. After we will calculate the factors of 141 and 154 and find the biggest common factor number .

### Step-1: Prime Factorization of 141

Prime factors of 141 are 3, 47. Prime factorization of 141 in exponential form is:

141 = 31 × 471

### Step-2: Prime Factorization of 154

Prime factors of 154 are 2, 7, 11. Prime factorization of 154 in exponential form is:

154 = 21 × 71 × 111

### Step-3: Factors of 141

List of positive integer factors of 141 that divides 141 without a remainder.

1, 3, 47

### Step-4: Factors of 154

List of positive integer factors of 154 that divides 141 without a remainder.

1, 2, 7, 11, 14, 22, 77

#### Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 141 and 154. The biggest common factor number is the GCF number.
So the greatest common factor 141 and 154 is 1.

Also check out the Least Common Multiple of 141 and 154