Greatest Common Factor of 1574 and 1580

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 1574, 1580 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1574 and 1580 is 2.

GCF(1574,1580) = 2

GCF of 1574 and 1580

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

GCF of:
and

Greatest Common Factor of 1574 and 1580

GCF of 1574 and 1580 is 2

Prime Factorization of 1574


2 1574
787 787
1

Prime factors of 1574 are 2,787. Prime factorization of 1574 in exponential form is:

1574 = 21×7871

Prime Factorization of 1580


2 1580
2 790
5 395
79 79
1

Prime factors of 1580 are 2,5,79. Prime factorization of 1580 in exponential form is:

1580 = 22×51×791

∴ So by taking common prime factors GCF of 1574 and 1580 is 2

Greatest Common Factor of 1574 and 1580 by matching factors method

Factors of 1574

List of positive integer factors of 1574 that divides 1574 without a remainder.

1,2,787,1574

Factors of 1580

List of positive integer factors of 1580 that divides 1580 without a remainder.

1,2,4,5,10,20,79,158,316,395,790,1580

Greatest Common Factor

We found the factors and prime factorization of 1574 and 1580. The biggest common factor number is the GCF number.
So the greatest common factor 1574 and 1580 is 2.

Also check out the Least Common Multiple of 1574 and 1580

Properties of GCF 1574 and 1580

(i) The GCF of 1574 and 1580 is associative

GCF of 1574 and 1580 = GCF of 1580 and 1574

Related Greatest Common Factor of 1574

Related Greatest Common Factor of 1580

Frequently Asked Questions on GCF of 1574 and 1580

1. What is the GCF of 1574 and 1580?

Answer: GCF of 1574 and 1580 is 2.

2. What are the Factors of 1574?

Answer: Factors of 1574 are 1, 2, 787, 1574. There are 4 integers that are factors of 1574. The greatest factor of 1574 is 1574.

3. What are the Factors of 1580?

Answer: Factors of 1580 are 1, 2, 4, 5, 10, 20, 79, 158, 316, 395, 790, 1580. There are 12 integers that are factors of 1580. The greatest factor of 1580 is 1580.

4. How to Find the GCF of 1574 and 1580?

Answer:

Greatest Common Factor of 1574 and 1580 = 2

Step 1: Find the prime factorization of 1574

1574 = 2 x 787

Step 2: Find the prime factorization of 1580

1580 = 2 x 2 x 5 x 79

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 1574 and 1580 is 2