Greatest Common Factor of 7442 and 7446

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 7442, 7446 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7442 and 7446 is 2.

GCF(7442,7446) = 2

GCF of 7442 and 7446

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

GCF of:
and

Greatest Common Factor of 7442 and 7446

GCF of 7442 and 7446 is 2

Prime Factorization of 7442


2 7442
61 3721
61 61
1

Prime factors of 7442 are 2,61. Prime factorization of 7442 in exponential form is:

7442 = 21×612

Prime Factorization of 7446


2 7446
3 3723
17 1241
73 73
1

Prime factors of 7446 are 2,3,17,73. Prime factorization of 7446 in exponential form is:

7446 = 21×31×171×731

∴ So by taking common prime factors GCF of 7442 and 7446 is 2

Greatest Common Factor of 7442 and 7446 by matching factors method

Factors of 7442

List of positive integer factors of 7442 that divides 7442 without a remainder.

1,2,61,122,3721,7442

Factors of 7446

List of positive integer factors of 7446 that divides 7446 without a remainder.

1,2,3,6,17,34,51,73,102,146,219,438,1241,2482,3723,7446

Greatest Common Factor

We found the factors and prime factorization of 7442 and 7446. The biggest common factor number is the GCF number.
So the greatest common factor 7442 and 7446 is 2.

Also check out the Least Common Multiple of 7442 and 7446

Properties of GCF 7442 and 7446

(i) The GCF of 7442 and 7446 is associative

GCF of 7442 and 7446 = GCF of 7446 and 7442

Related Greatest Common Factor of 7442

Related Greatest Common Factor of 7446

Frequently Asked Questions on GCF of 7442 and 7446

1. What is the GCF of 7442 and 7446?

Answer: GCF of 7442 and 7446 is 2.

2. What are the Factors of 7442?

Answer: Factors of 7442 are 1, 2, 61, 122, 3721, 7442. There are 6 integers that are factors of 7442. The greatest factor of 7442 is 7442.

3. What are the Factors of 7446?

Answer: Factors of 7446 are 1, 2, 3, 6, 17, 34, 51, 73, 102, 146, 219, 438, 1241, 2482, 3723, 7446. There are 16 integers that are factors of 7446. The greatest factor of 7446 is 7446.

4. How to Find the GCF of 7442 and 7446?

Answer:

Greatest Common Factor of 7442 and 7446 = 2

Step 1: Find the prime factorization of 7442

7442 = 2 x 61 x 61

Step 2: Find the prime factorization of 7446

7446 = 2 x 3 x 17 x 73

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

GCF = 2

Step 4: Therefore, the greatest common factor of 7442 and 7446 is 2