Greatest Common Factor of 1240 and 1248

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 1240, 1248 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1240 and 1248 is 8.

GCF(1240,1248) = 8

GCF of 1240 and 1248

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

GCF of:
and

Greatest Common Factor of 1240 and 1248

GCF of 1240 and 1248 is 8

Prime Factorization of 1240


2 1240
2 620
2 310
5 155
31 31
1

Prime factors of 1240 are 2,5,31. Prime factorization of 1240 in exponential form is:

1240 = 23×51×311

Prime Factorization of 1248


2 1248
2 624
2 312
2 156
2 78
3 39
13 13
1

Prime factors of 1248 are 2,3,13. Prime factorization of 1248 in exponential form is:

1248 = 25×31×131

∴ So by taking common prime factors GCF of 1240 and 1248 is 8

Greatest Common Factor of 1240 and 1248 by matching factors method

Factors of 1240

List of positive integer factors of 1240 that divides 1240 without a remainder.

1,2,4,5,8,10,20,31,40,62,124,155,248,310,620,1240

Factors of 1248

List of positive integer factors of 1248 that divides 1248 without a remainder.

1,2,3,4,6,8,12,13,16,24,26,32,39,48,52,78,96,104,156,208,312,416,624,1248

Greatest Common Factor

We found the factors and prime factorization of 1240 and 1248. The biggest common factor number is the GCF number.
So the greatest common factor 1240 and 1248 is 8.

Also check out the Least Common Multiple of 1240 and 1248

Properties of GCF 1240 and 1248

(i) The GCF of 1240 and 1248 is associative

GCF of 1240 and 1248 = GCF of 1248 and 1240

Related Greatest Common Factor of 1240

Related Greatest Common Factor of 1248

Frequently Asked Questions on GCF of 1240 and 1248

1. What is the GCF of 1240 and 1248?

Answer: GCF of 1240 and 1248 is 8.

2. What are the Factors of 1240?

Answer: Factors of 1240 are 1, 2, 4, 5, 8, 10, 20, 31, 40, 62, 124, 155, 248, 310, 620, 1240. There are 16 integers that are factors of 1240. The greatest factor of 1240 is 1240.

3. What are the Factors of 1248?

Answer: Factors of 1248 are 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 32, 39, 48, 52, 78, 96, 104, 156, 208, 312, 416, 624, 1248. There are 24 integers that are factors of 1248. The greatest factor of 1248 is 1248.

4. How to Find the GCF of 1240 and 1248?

Answer:

Greatest Common Factor of 1240 and 1248 = 8

Step 1: Find the prime factorization of 1240

1240 = 2 x 2 x 2 x 5 x 31

Step 2: Find the prime factorization of 1248

1248 = 2 x 2 x 2 x 2 x 2 x 3 x 13

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

GCF = 2 x 2 x 2 = 8

Step 4: Therefore, the greatest common factor of 1240 and 1248 is 8