Greatest Common Factor of 1236 and 1240

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 1236, 1240 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1236 and 1240 is 4.

GCF(1236,1240) = 4

GCF of 1236 and 1240

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

GCF of:
and

Greatest Common Factor of 1236 and 1240

GCF of 1236 and 1240 is 4

Prime Factorization of 1236


2 1236
2 618
3 309
103 103
1

Prime factors of 1236 are 2,3,103. Prime factorization of 1236 in exponential form is:

1236 = 22×31×1031

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

∴ So by taking common prime factors GCF of 1236 and 1240 is 4

Greatest Common Factor of 1236 and 1240 by matching factors method

Factors of 1236

List of positive integer factors of 1236 that divides 1236 without a remainder.

1,2,3,4,6,12,103,206,309,412,618,1236

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

Greatest Common Factor

We found the factors and prime factorization of 1236 and 1240. The biggest common factor number is the GCF number.
So the greatest common factor 1236 and 1240 is 4.

Also check out the Least Common Multiple of 1236 and 1240

Properties of GCF 1236 and 1240

(i) The GCF of 1236 and 1240 is associative

GCF of 1236 and 1240 = GCF of 1240 and 1236

Related Greatest Common Factor of 1236

Related Greatest Common Factor of 1240

Frequently Asked Questions on GCF of 1236 and 1240

1. What is the GCF of 1236 and 1240?

Answer: GCF of 1236 and 1240 is 4.

2. What are the Factors of 1236?

Answer: Factors of 1236 are 1, 2, 3, 4, 6, 12, 103, 206, 309, 412, 618, 1236. There are 12 integers that are factors of 1236. The greatest factor of 1236 is 1236.

3. 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.

4. How to Find the GCF of 1236 and 1240?

Answer:

Greatest Common Factor of 1236 and 1240 = 4

Step 1: Find the prime factorization of 1236

1236 = 2 x 2 x 3 x 103

Step 2: Find the prime factorization of 1240

1240 = 2 x 2 x 2 x 5 x 31

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 1236 and 1240 is 4