Greatest Common Factor of 1574 and 1576

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, 1576 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1574 and 1576 is 2.

GCF(1574,1576) = 2

GCF of 1574 and 1576

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

GCF of:
and

Greatest Common Factor of 1574 and 1576

GCF of 1574 and 1576 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 1576


2 1576
2 788
2 394
197 197
1

Prime factors of 1576 are 2,197. Prime factorization of 1576 in exponential form is:

1576 = 23×1971

∴ So by taking common prime factors GCF of 1574 and 1576 is 2

Greatest Common Factor of 1574 and 1576 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 1576

List of positive integer factors of 1576 that divides 1576 without a remainder.

1,2,4,8,197,394,788,1576

Greatest Common Factor

We found the factors and prime factorization of 1574 and 1576. The biggest common factor number is the GCF number.
So the greatest common factor 1574 and 1576 is 2.

Also check out the Least Common Multiple of 1574 and 1576

Properties of GCF 1574 and 1576

(i) The GCF of 1574 and 1576 is associative

GCF of 1574 and 1576 = GCF of 1576 and 1574

Related Greatest Common Factor of 1574

Related Greatest Common Factor of 1576

Frequently Asked Questions on GCF of 1574 and 1576

1. What is the GCF of 1574 and 1576?

Answer: GCF of 1574 and 1576 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 1576?

Answer: Factors of 1576 are 1, 2, 4, 8, 197, 394, 788, 1576. There are 8 integers that are factors of 1576. The greatest factor of 1576 is 1576.

4. How to Find the GCF of 1574 and 1576?

Answer:

Greatest Common Factor of 1574 and 1576 = 2

Step 1: Find the prime factorization of 1574

1574 = 2 x 787

Step 2: Find the prime factorization of 1576

1576 = 2 x 2 x 2 x 197

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 1576 is 2