Greatest Common Factor of 1252 and 1260

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 1252, 1260 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1252 and 1260 is 4.

GCF(1252,1260) = 4

GCF of 1252 and 1260

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

GCF of:
and

Greatest Common Factor of 1252 and 1260

GCF of 1252 and 1260 is 4

Prime Factorization of 1252


2 1252
2 626
313 313
1

Prime factors of 1252 are 2,313. Prime factorization of 1252 in exponential form is:

1252 = 22×3131

Prime Factorization of 1260


2 1260
2 630
3 315
3 105
5 35
7 7
1

Prime factors of 1260 are 2,3,5,7. Prime factorization of 1260 in exponential form is:

1260 = 22×32×51×71

∴ So by taking common prime factors GCF of 1252 and 1260 is 4

Greatest Common Factor of 1252 and 1260 by matching factors method

Factors of 1252

List of positive integer factors of 1252 that divides 1252 without a remainder.

1,2,4,313,626,1252

Factors of 1260

List of positive integer factors of 1260 that divides 1260 without a remainder.

1,2,3,4,5,6,7,9,10,12,14,15,18,20,21,28,30,35,36,42,45,60,63,70,84,90,105,126,140,180,210,252,315,420,630,1260

Greatest Common Factor

We found the factors and prime factorization of 1252 and 1260. The biggest common factor number is the GCF number.
So the greatest common factor 1252 and 1260 is 4.

Also check out the Least Common Multiple of 1252 and 1260

Properties of GCF 1252 and 1260

(i) The GCF of 1252 and 1260 is associative

GCF of 1252 and 1260 = GCF of 1260 and 1252

Related Greatest Common Factor of 1252

Related Greatest Common Factor of 1260

Frequently Asked Questions on GCF of 1252 and 1260

1. What is the GCF of 1252 and 1260?

Answer: GCF of 1252 and 1260 is 4.

2. What are the Factors of 1252?

Answer: Factors of 1252 are 1, 2, 4, 313, 626, 1252. There are 6 integers that are factors of 1252. The greatest factor of 1252 is 1252.

3. What are the Factors of 1260?

Answer: Factors of 1260 are 1, 2, 3, 4, 5, 6, 7, 9, 10, 12, 14, 15, 18, 20, 21, 28, 30, 35, 36, 42, 45, 60, 63, 70, 84, 90, 105, 126, 140, 180, 210, 252, 315, 420, 630, 1260. There are 36 integers that are factors of 1260. The greatest factor of 1260 is 1260.

4. How to Find the GCF of 1252 and 1260?

Answer:

Greatest Common Factor of 1252 and 1260 = 4

Step 1: Find the prime factorization of 1252

1252 = 2 x 2 x 313

Step 2: Find the prime factorization of 1260

1260 = 2 x 2 x 3 x 3 x 5 x 7

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

GCF = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 1252 and 1260 is 4