Greatest Common Factor of 245 and 252

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, 252 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 245 and 252 is 7.

GCF(245,252) = 7

GCF of 245 and 252

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

GCF of:
and

Greatest Common Factor of 245 and 252

GCF of 245 and 252 is 7

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 252


2 252
2 126
3 63
3 21
7 7
1

Prime factors of 252 are 2,3,7. Prime factorization of 252 in exponential form is:

252 = 22×32×71

∴ So by taking common prime factors GCF of 245 and 252 is 7

Greatest Common Factor of 245 and 252 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 252

List of positive integer factors of 252 that divides 252 without a remainder.

1,2,3,4,6,7,9,12,14,18,21,28,36,42,63,84,126,252

Greatest Common Factor

We found the factors and prime factorization of 245 and 252. The biggest common factor number is the GCF number.
So the greatest common factor 245 and 252 is 7.

Also check out the Least Common Multiple of 245 and 252

Properties of GCF 245 and 252

(i) The GCF of 245 and 252 is associative

GCF of 245 and 252 = GCF of 252 and 245

Related Greatest Common Factor of 245

Related Greatest Common Factor of 252

Frequently Asked Questions on GCF of 245 and 252

1. What is the GCF of 245 and 252?

Answer: GCF of 245 and 252 is 7.

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 252?

Answer: Factors of 252 are 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252. There are 18 integers that are factors of 252. The greatest factor of 252 is 252.

4. How to Find the GCF of 245 and 252?

Answer:

Greatest Common Factor of 245 and 252 = 7

Step 1: Find the prime factorization of 245

245 = 5 x 7 x 7

Step 2: Find the prime factorization of 252

252 = 2 x 2 x 3 x 3 x 7

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

GCF = 7

Step 4: Therefore, the greatest common factor of 245 and 252 is 7