Greatest Common Factor of 248 and 253

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 248, 253 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 248 and 253 is 1.

GCF(248,253) = 1

GCF of 248 and 253

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

GCF of:
and

Greatest Common Factor of 248 and 253

GCF of 248 and 253 is 1

Prime Factorization of 248


2 248
2 124
2 62
31 31
1

Prime factors of 248 are 2,31. Prime factorization of 248 in exponential form is:

248 = 23×311

Prime Factorization of 253


11 253
23 23
1

Prime factors of 253 are 11,23. Prime factorization of 253 in exponential form is:

253 = 111×231

∴ So by taking common prime factors GCF of 248 and 253 is 1

Greatest Common Factor of 248 and 253 by matching factors method

Factors of 248

List of positive integer factors of 248 that divides 248 without a remainder.

1,2,4,8,31,62,124,248

Factors of 253

List of positive integer factors of 253 that divides 253 without a remainder.

1,11,23,253

Greatest Common Factor

We found the factors and prime factorization of 248 and 253. The biggest common factor number is the GCF number.
So the greatest common factor 248 and 253 is 1.

Also check out the Least Common Multiple of 248 and 253

Properties of GCF 248 and 253

(i) The GCF of 248 and 253 is associative

GCF of 248 and 253 = GCF of 253 and 248

Related Greatest Common Factor of 248

Related Greatest Common Factor of 253

Frequently Asked Questions on GCF of 248 and 253

1. What is the GCF of 248 and 253?

Answer: GCF of 248 and 253 is 1.

2. What are the Factors of 248?

Answer: Factors of 248 are 1, 2, 4, 8, 31, 62, 124, 248. There are 8 integers that are factors of 248. The greatest factor of 248 is 248.

3. What are the Factors of 253?

Answer: Factors of 253 are 1, 11, 23, 253. There are 4 integers that are factors of 253. The greatest factor of 253 is 253.

4. How to Find the GCF of 248 and 253?

Answer:

Greatest Common Factor of 248 and 253 = 1

Step 1: Find the prime factorization of 248

248 = 2 x 2 x 2 x 31

Step 2: Find the prime factorization of 253

253 = 11 x 23

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

GCF = = 1

Step 4: Therefore, the greatest common factor of 248 and 253 is 1