Greatest Common Factor of 254 and 262

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 254, 262 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 254 and 262 is 2.

GCF(254,262) = 2

GCF of 254 and 262

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

GCF of:
and

Greatest Common Factor of 254 and 262

GCF of 254 and 262 is 2

Prime Factorization of 254


2 254
127 127
1

Prime factors of 254 are 2,127. Prime factorization of 254 in exponential form is:

254 = 21×1271

Prime Factorization of 262


2 262
131 131
1

Prime factors of 262 are 2,131. Prime factorization of 262 in exponential form is:

262 = 21×1311

∴ So by taking common prime factors GCF of 254 and 262 is 2

Greatest Common Factor of 254 and 262 by matching factors method

Factors of 254

List of positive integer factors of 254 that divides 254 without a remainder.

1,2,127,254

Factors of 262

List of positive integer factors of 262 that divides 262 without a remainder.

1,2,131,262

Greatest Common Factor

We found the factors and prime factorization of 254 and 262. The biggest common factor number is the GCF number.
So the greatest common factor 254 and 262 is 2.

Also check out the Least Common Multiple of 254 and 262

Properties of GCF 254 and 262

(i) The GCF of 254 and 262 is associative

GCF of 254 and 262 = GCF of 262 and 254

Related Greatest Common Factor of 254

Related Greatest Common Factor of 262

Frequently Asked Questions on GCF of 254 and 262

1. What is the GCF of 254 and 262?

Answer: GCF of 254 and 262 is 2.

2. What are the Factors of 254?

Answer: Factors of 254 are 1, 2, 127, 254. There are 4 integers that are factors of 254. The greatest factor of 254 is 254.

3. What are the Factors of 262?

Answer: Factors of 262 are 1, 2, 131, 262. There are 4 integers that are factors of 262. The greatest factor of 262 is 262.

4. How to Find the GCF of 254 and 262?

Answer:

Greatest Common Factor of 254 and 262 = 2

Step 1: Find the prime factorization of 254

254 = 2 x 127

Step 2: Find the prime factorization of 262

262 = 2 x 131

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 254 and 262 is 2