Greatest Common Factor of 40152 and 40158

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 40152, 40158 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 40152 and 40158 is 6.

GCF(40152,40158) = 6

GCF of 40152 and 40158

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

GCF of:
and

Greatest Common Factor of 40152 and 40158

GCF of 40152 and 40158 is 6

Prime Factorization of 40152


2 40152
2 20076
2 10038
3 5019
7 1673
239 239
1

Prime factors of 40152 are 2,3,7,239. Prime factorization of 40152 in exponential form is:

40152 = 23×31×71×2391

Prime Factorization of 40158


2 40158
3 20079
3 6693
23 2231
97 97
1

Prime factors of 40158 are 2,3,23,97. Prime factorization of 40158 in exponential form is:

40158 = 21×32×231×971

∴ So by taking common prime factors GCF of 40152 and 40158 is 6

Greatest Common Factor of 40152 and 40158 by matching factors method

Factors of 40152

List of positive integer factors of 40152 that divides 40152 without a remainder.

1,2,3,4,6,7,8,12,14,21,24,28,42,56,84,168,239,478,717,956,1434,1673,1912,2868,3346,5019,5736,6692,10038,13384,20076,40152

Factors of 40158

List of positive integer factors of 40158 that divides 40158 without a remainder.

1,2,3,6,9,18,23,46,69,97,138,194,207,291,414,582,873,1746,2231,4462,6693,13386,20079,40158

Greatest Common Factor

We found the factors and prime factorization of 40152 and 40158. The biggest common factor number is the GCF number.
So the greatest common factor 40152 and 40158 is 6.

Also check out the Least Common Multiple of 40152 and 40158

Properties of GCF 40152 and 40158

(i) The GCF of 40152 and 40158 is associative

GCF of 40152 and 40158 = GCF of 40158 and 40152

Related Greatest Common Factor of 40152

Related Greatest Common Factor of 40158

Frequently Asked Questions on GCF of 40152 and 40158

1. What is the GCF of 40152 and 40158?

Answer: GCF of 40152 and 40158 is 6.

2. What are the Factors of 40152?

Answer: Factors of 40152 are 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168, 239, 478, 717, 956, 1434, 1673, 1912, 2868, 3346, 5019, 5736, 6692, 10038, 13384, 20076, 40152. There are 32 integers that are factors of 40152. The greatest factor of 40152 is 40152.

3. What are the Factors of 40158?

Answer: Factors of 40158 are 1, 2, 3, 6, 9, 18, 23, 46, 69, 97, 138, 194, 207, 291, 414, 582, 873, 1746, 2231, 4462, 6693, 13386, 20079, 40158. There are 24 integers that are factors of 40158. The greatest factor of 40158 is 40158.

4. How to Find the GCF of 40152 and 40158?

Answer:

Greatest Common Factor of 40152 and 40158 = 6

Step 1: Find the prime factorization of 40152

40152 = 2 x 2 x 2 x 3 x 7 x 239

Step 2: Find the prime factorization of 40158

40158 = 2 x 3 x 3 x 23 x 97

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

GCF = 2 x 3 = 6

Step 4: Therefore, the greatest common factor of 40152 and 40158 is 6