Greatest Common Factor of 1474 and 1475

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, 1475 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1474 and 1475 is 1.

GCF(1474,1475) = 1

GCF of 1474 and 1475

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

GCF of:
and

Greatest Common Factor of 1474 and 1475

GCF of 1474 and 1475 is 1

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 1475


5 1475
5 295
59 59
1

Prime factors of 1475 are 5,59. Prime factorization of 1475 in exponential form is:

1475 = 52×591

∴ So by taking common prime factors GCF of 1474 and 1475 is 1

Greatest Common Factor of 1474 and 1475 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 1475

List of positive integer factors of 1475 that divides 1475 without a remainder.

1,5,25,59,295,1475

Greatest Common Factor

We found the factors and prime factorization of 1474 and 1475. The biggest common factor number is the GCF number.
So the greatest common factor 1474 and 1475 is 1.

Also check out the Least Common Multiple of 1474 and 1475

Properties of GCF 1474 and 1475

(i) The GCF of 1474 and 1475 is associative

GCF of 1474 and 1475 = GCF of 1475 and 1474

Related Greatest Common Factor of 1474

Related Greatest Common Factor of 1475

Frequently Asked Questions on GCF of 1474 and 1475

1. What is the GCF of 1474 and 1475?

Answer: GCF of 1474 and 1475 is 1.

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 1475?

Answer: Factors of 1475 are 1, 5, 25, 59, 295, 1475. There are 6 integers that are factors of 1475. The greatest factor of 1475 is 1475.

4. How to Find the GCF of 1474 and 1475?

Answer:

Greatest Common Factor of 1474 and 1475 = 1

Step 1: Find the prime factorization of 1474

1474 = 2 x 11 x 67

Step 2: Find the prime factorization of 1475

1475 = 5 x 5 x 59

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

GCF = = 1

Step 4: Therefore, the greatest common factor of 1474 and 1475 is 1