Greatest Common Factor of 7140 and 7148

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 7140, 7148 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7140 and 7148 is 4.

GCF(7140,7148) = 4

GCF of 7140 and 7148

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

GCF of:
and

Greatest Common Factor of 7140 and 7148

GCF of 7140 and 7148 is 4

Prime Factorization of 7140


2 7140
2 3570
3 1785
5 595
7 119
17 17
1

Prime factors of 7140 are 2,3,5,7,17. Prime factorization of 7140 in exponential form is:

7140 = 22×31×51×71×171

Prime Factorization of 7148


2 7148
2 3574
1787 1787
1

Prime factors of 7148 are 2,1787. Prime factorization of 7148 in exponential form is:

7148 = 22×17871

∴ So by taking common prime factors GCF of 7140 and 7148 is 4

Greatest Common Factor of 7140 and 7148 by matching factors method

Factors of 7140

List of positive integer factors of 7140 that divides 7140 without a remainder.

1,2,3,4,5,6,7,10,12,14,15,17,20,21,28,30,34,35,42,51,60,68,70,84,85,102,105,119,140,170,204,210,238,255,340,357,420,476,510,595,714,1020,1190,1428,1785,2380,3570,7140

Factors of 7148

List of positive integer factors of 7148 that divides 7148 without a remainder.

1,2,4,1787,3574,7148

Greatest Common Factor

We found the factors and prime factorization of 7140 and 7148. The biggest common factor number is the GCF number.
So the greatest common factor 7140 and 7148 is 4.

Also check out the Least Common Multiple of 7140 and 7148

Properties of GCF 7140 and 7148

(i) The GCF of 7140 and 7148 is associative

GCF of 7140 and 7148 = GCF of 7148 and 7140

Related Greatest Common Factor of 7140

Related Greatest Common Factor of 7148

Frequently Asked Questions on GCF of 7140 and 7148

1. What is the GCF of 7140 and 7148?

Answer: GCF of 7140 and 7148 is 4.

2. What are the Factors of 7140?

Answer: Factors of 7140 are 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 17, 20, 21, 28, 30, 34, 35, 42, 51, 60, 68, 70, 84, 85, 102, 105, 119, 140, 170, 204, 210, 238, 255, 340, 357, 420, 476, 510, 595, 714, 1020, 1190, 1428, 1785, 2380, 3570, 7140. There are 48 integers that are factors of 7140. The greatest factor of 7140 is 7140.

3. What are the Factors of 7148?

Answer: Factors of 7148 are 1, 2, 4, 1787, 3574, 7148. There are 6 integers that are factors of 7148. The greatest factor of 7148 is 7148.

4. How to Find the GCF of 7140 and 7148?

Answer:

Greatest Common Factor of 7140 and 7148 = 4

Step 1: Find the prime factorization of 7140

7140 = 2 x 2 x 3 x 5 x 7 x 17

Step 2: Find the prime factorization of 7148

7148 = 2 x 2 x 1787

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 7140 and 7148 is 4