**Created By :**
Jatin Gogia

**Reviewed By :**
Rajasekhar Valipishetty

**Last Updated :**
Apr 06, 2023

Make use of GCF Calculator to quickly find the Greatest Common Factor of numbers 2402, 2408 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2402 and 2408 is **2**.

GCF(2402,2408) = 2

*Greatest common factor* or Greatest common divisor (GCD) can be calculated in following way;

**Prime Factorization of 2402**

2 | 2402 |

1201 | 1201 |

1 |

Prime factors of 2402 are 2,1201. Prime factorization of **2402** in exponential form is:

2402 = 2^{1}×1201^{1}

**Prime Factorization of 2408**

2 | 2408 |

2 | 1204 |

2 | 602 |

7 | 301 |

43 | 43 |

1 |

Prime factors of 2408 are 2,7,43. Prime factorization of **2408** in exponential form is:

2408 = 2^{3}×7^{1}×43^{1}

∴ So by taking common prime factors GCF of 2402 and 2408 is 2

**Factors of 2402**

List of positive integer factors of 2402 that divides 2402 without a remainder.

1,2,1201,2402

**Factors of 2408**

List of positive integer factors of 2408 that divides 2408 without a remainder.

1,2,4,7,8,14,28,43,56,86,172,301,344,602,1204,2408

**Greatest Common Factor**

We found the factors and prime factorization of 2402 and 2408. The biggest common factor number is the **GCF** number.

So the **greatest common factor 2402 and 2408** is **2**.

Also check out the Least Common Multiple of 2402 and 2408

(i) The GCF of 2402 and 2408 is associative

GCF of 2402 and 2408 = GCF of 2408 and 2402

1. What is the GCF of 2402 and 2408?

Answer: GCF of 2402 and 2408 is 2.

2. What are the Factors of 2402?

Answer: Factors of 2402 are 1, 2, 1201, 2402. There are 4 integers that are factors of 2402. The greatest factor of 2402 is 2402.

3. What are the Factors of 2408?

Answer: Factors of 2408 are 1, 2, 4, 7, 8, 14, 28, 43, 56, 86, 172, 301, 344, 602, 1204, 2408. There are 16 integers that are factors of 2408. The greatest factor of 2408 is 2408.

4. How to Find the GCF of 2402 and 2408?

Answer:

Greatest Common Factor of 2402 and 2408 = 2

Step 1: Find the prime factorization of 2402

2402 = 2 x 1201

Step 2: Find the prime factorization of 2408

2408 = 2 x 2 x 2 x 7 x 43

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 2

Step 4: Therefore, the greatest common factor of 2402 and 2408 is 2