Greatest Common Factor of 1488 and 1492

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 1488, 1492 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1488 and 1492 is 4.

GCF(1488,1492) = 4

GCF of 1488 and 1492

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

GCF of:
and

Greatest Common Factor of 1488 and 1492

GCF of 1488 and 1492 is 4

Prime Factorization of 1488


2 1488
2 744
2 372
2 186
3 93
31 31
1

Prime factors of 1488 are 2,3,31. Prime factorization of 1488 in exponential form is:

1488 = 24×31×311

Prime Factorization of 1492


2 1492
2 746
373 373
1

Prime factors of 1492 are 2,373. Prime factorization of 1492 in exponential form is:

1492 = 22×3731

∴ So by taking common prime factors GCF of 1488 and 1492 is 4

Greatest Common Factor of 1488 and 1492 by matching factors method

Factors of 1488

List of positive integer factors of 1488 that divides 1488 without a remainder.

1,2,3,4,6,8,12,16,24,31,48,62,93,124,186,248,372,496,744,1488

Factors of 1492

List of positive integer factors of 1492 that divides 1492 without a remainder.

1,2,4,373,746,1492

Greatest Common Factor

We found the factors and prime factorization of 1488 and 1492. The biggest common factor number is the GCF number.
So the greatest common factor 1488 and 1492 is 4.

Also check out the Least Common Multiple of 1488 and 1492

Properties of GCF 1488 and 1492

(i) The GCF of 1488 and 1492 is associative

GCF of 1488 and 1492 = GCF of 1492 and 1488

Related Greatest Common Factor of 1488

Related Greatest Common Factor of 1492

Frequently Asked Questions on GCF of 1488 and 1492

1. What is the GCF of 1488 and 1492?

Answer: GCF of 1488 and 1492 is 4.

2. What are the Factors of 1488?

Answer: Factors of 1488 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 31, 48, 62, 93, 124, 186, 248, 372, 496, 744, 1488. There are 20 integers that are factors of 1488. The greatest factor of 1488 is 1488.

3. What are the Factors of 1492?

Answer: Factors of 1492 are 1, 2, 4, 373, 746, 1492. There are 6 integers that are factors of 1492. The greatest factor of 1492 is 1492.

4. How to Find the GCF of 1488 and 1492?

Answer:

Greatest Common Factor of 1488 and 1492 = 4

Step 1: Find the prime factorization of 1488

1488 = 2 x 2 x 2 x 2 x 3 x 31

Step 2: Find the prime factorization of 1492

1492 = 2 x 2 x 373

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 1488 and 1492 is 4