Greatest Common Factor of 1258 and 1262

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 1258, 1262 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1258 and 1262 is 2.

GCF(1258,1262) = 2

GCF of 1258 and 1262

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

GCF of:
and

Greatest Common Factor of 1258 and 1262

GCF of 1258 and 1262 is 2

Prime Factorization of 1258


2 1258
17 629
37 37
1

Prime factors of 1258 are 2,17,37. Prime factorization of 1258 in exponential form is:

1258 = 21×171×371

Prime Factorization of 1262


2 1262
631 631
1

Prime factors of 1262 are 2,631. Prime factorization of 1262 in exponential form is:

1262 = 21×6311

∴ So by taking common prime factors GCF of 1258 and 1262 is 2

Greatest Common Factor of 1258 and 1262 by matching factors method

Factors of 1258

List of positive integer factors of 1258 that divides 1258 without a remainder.

1,2,17,34,37,74,629,1258

Factors of 1262

List of positive integer factors of 1262 that divides 1262 without a remainder.

1,2,631,1262

Greatest Common Factor

We found the factors and prime factorization of 1258 and 1262. The biggest common factor number is the GCF number.
So the greatest common factor 1258 and 1262 is 2.

Also check out the Least Common Multiple of 1258 and 1262

Properties of GCF 1258 and 1262

(i) The GCF of 1258 and 1262 is associative

GCF of 1258 and 1262 = GCF of 1262 and 1258

Related Greatest Common Factor of 1258

Related Greatest Common Factor of 1262

Frequently Asked Questions on GCF of 1258 and 1262

1. What is the GCF of 1258 and 1262?

Answer: GCF of 1258 and 1262 is 2.

2. What are the Factors of 1258?

Answer: Factors of 1258 are 1, 2, 17, 34, 37, 74, 629, 1258. There are 8 integers that are factors of 1258. The greatest factor of 1258 is 1258.

3. What are the Factors of 1262?

Answer: Factors of 1262 are 1, 2, 631, 1262. There are 4 integers that are factors of 1262. The greatest factor of 1262 is 1262.

4. How to Find the GCF of 1258 and 1262?

Answer:

Greatest Common Factor of 1258 and 1262 = 2

Step 1: Find the prime factorization of 1258

1258 = 2 x 17 x 37

Step 2: Find the prime factorization of 1262

1262 = 2 x 631

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 1258 and 1262 is 2