Greatest Common Factor of 245 and 251

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 245, 251 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 245 and 251 is 1.

GCF(245,251) = 1

GCF of 245 and 251

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

GCF of:
and

Greatest Common Factor of 245 and 251

GCF of 245 and 251 is 1

Prime Factorization of 245


5 245
7 49
7 7
1

Prime factors of 245 are 5,7. Prime factorization of 245 in exponential form is:

245 = 51×72

Prime Factorization of 251


251 251
1

Prime factors of 251 are 251. Prime factorization of 251 in exponential form is:

251 = 2511

∴ So by taking common prime factors GCF of 245 and 251 is 1

Greatest Common Factor of 245 and 251 by matching factors method

Factors of 245

List of positive integer factors of 245 that divides 245 without a remainder.

1,5,7,35,49,245

Factors of 251

List of positive integer factors of 251 that divides 251 without a remainder.

1,251

Greatest Common Factor

We found the factors and prime factorization of 245 and 251. The biggest common factor number is the GCF number.
So the greatest common factor 245 and 251 is 1.

Also check out the Least Common Multiple of 245 and 251

Properties of GCF 245 and 251

(i) The GCF of 245 and 251 is associative

GCF of 245 and 251 = GCF of 251 and 245

Related Greatest Common Factor of 245

Related Greatest Common Factor of 251

Frequently Asked Questions on GCF of 245 and 251

1. What is the GCF of 245 and 251?

Answer: GCF of 245 and 251 is 1.

2. What are the Factors of 245?

Answer: Factors of 245 are 1, 5, 7, 35, 49, 245. There are 6 integers that are factors of 245. The greatest factor of 245 is 245.

3. What are the Factors of 251?

Answer: Factors of 251 are 1, 251. There are 2 integers that are factors of 251. The greatest factor of 251 is 251.

4. How to Find the GCF of 245 and 251?

Answer:

Greatest Common Factor of 245 and 251 = 1

Step 1: Find the prime factorization of 245

245 = 5 x 7 x 7

Step 2: Find the prime factorization of 251

251 = 251

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 245 and 251 is 1