Greatest Common Factor of 1260 and 1264

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 1260, 1264 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1260 and 1264 is 4.

GCF(1260,1264) = 4

GCF of 1260 and 1264

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

GCF of:
and

Greatest Common Factor of 1260 and 1264

GCF of 1260 and 1264 is 4

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

Prime Factorization of 1264


2 1264
2 632
2 316
2 158
79 79
1

Prime factors of 1264 are 2,79. Prime factorization of 1264 in exponential form is:

1264 = 24×791

∴ So by taking common prime factors GCF of 1260 and 1264 is 4

Greatest Common Factor of 1260 and 1264 by matching factors method

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

Factors of 1264

List of positive integer factors of 1264 that divides 1264 without a remainder.

1,2,4,8,16,79,158,316,632,1264

Greatest Common Factor

We found the factors and prime factorization of 1260 and 1264. The biggest common factor number is the GCF number.
So the greatest common factor 1260 and 1264 is 4.

Also check out the Least Common Multiple of 1260 and 1264

Properties of GCF 1260 and 1264

(i) The GCF of 1260 and 1264 is associative

GCF of 1260 and 1264 = GCF of 1264 and 1260

Related Greatest Common Factor of 1260

Related Greatest Common Factor of 1264

Frequently Asked Questions on GCF of 1260 and 1264

1. What is the GCF of 1260 and 1264?

Answer: GCF of 1260 and 1264 is 4.

2. 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.

3. What are the Factors of 1264?

Answer: Factors of 1264 are 1, 2, 4, 8, 16, 79, 158, 316, 632, 1264. There are 10 integers that are factors of 1264. The greatest factor of 1264 is 1264.

4. How to Find the GCF of 1260 and 1264?

Answer:

Greatest Common Factor of 1260 and 1264 = 4

Step 1: Find the prime factorization of 1260

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

Step 2: Find the prime factorization of 1264

1264 = 2 x 2 x 2 x 2 x 79

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 1260 and 1264 is 4