Greatest Common Factor of 1474 and 1480

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 1474, 1480 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1474 and 1480 is 2.

GCF(1474,1480) = 2

GCF of 1474 and 1480

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

GCF of:
and

Greatest Common Factor of 1474 and 1480

GCF of 1474 and 1480 is 2

Prime Factorization of 1474


2 1474
11 737
67 67
1

Prime factors of 1474 are 2,11,67. Prime factorization of 1474 in exponential form is:

1474 = 21×111×671

Prime Factorization of 1480


2 1480
2 740
2 370
5 185
37 37
1

Prime factors of 1480 are 2,5,37. Prime factorization of 1480 in exponential form is:

1480 = 23×51×371

∴ So by taking common prime factors GCF of 1474 and 1480 is 2

Greatest Common Factor of 1474 and 1480 by matching factors method

Factors of 1474

List of positive integer factors of 1474 that divides 1474 without a remainder.

1,2,11,22,67,134,737,1474

Factors of 1480

List of positive integer factors of 1480 that divides 1480 without a remainder.

1,2,4,5,8,10,20,37,40,74,148,185,296,370,740,1480

Greatest Common Factor

We found the factors and prime factorization of 1474 and 1480. The biggest common factor number is the GCF number.
So the greatest common factor 1474 and 1480 is 2.

Also check out the Least Common Multiple of 1474 and 1480

Properties of GCF 1474 and 1480

(i) The GCF of 1474 and 1480 is associative

GCF of 1474 and 1480 = GCF of 1480 and 1474

Related Greatest Common Factor of 1474

Related Greatest Common Factor of 1480

Frequently Asked Questions on GCF of 1474 and 1480

1. What is the GCF of 1474 and 1480?

Answer: GCF of 1474 and 1480 is 2.

2. What are the Factors of 1474?

Answer: Factors of 1474 are 1, 2, 11, 22, 67, 134, 737, 1474. There are 8 integers that are factors of 1474. The greatest factor of 1474 is 1474.

3. What are the Factors of 1480?

Answer: Factors of 1480 are 1, 2, 4, 5, 8, 10, 20, 37, 40, 74, 148, 185, 296, 370, 740, 1480. There are 16 integers that are factors of 1480. The greatest factor of 1480 is 1480.

4. How to Find the GCF of 1474 and 1480?

Answer:

Greatest Common Factor of 1474 and 1480 = 2

Step 1: Find the prime factorization of 1474

1474 = 2 x 11 x 67

Step 2: Find the prime factorization of 1480

1480 = 2 x 2 x 2 x 5 x 37

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 1474 and 1480 is 2