Greatest Common Factor of 1475 and 1477

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 1475, 1477 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1475 and 1477 is 1.

GCF(1475,1477) = 1

GCF of 1475 and 1477

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

GCF of:
and

Greatest Common Factor of 1475 and 1477

GCF of 1475 and 1477 is 1

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

Prime Factorization of 1477


7 1477
211 211
1

Prime factors of 1477 are 7,211. Prime factorization of 1477 in exponential form is:

1477 = 71×2111

∴ So by taking common prime factors GCF of 1475 and 1477 is 1

Greatest Common Factor of 1475 and 1477 by matching factors method

Factors of 1475

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

1,5,25,59,295,1475

Factors of 1477

List of positive integer factors of 1477 that divides 1477 without a remainder.

1,7,211,1477

Greatest Common Factor

We found the factors and prime factorization of 1475 and 1477. The biggest common factor number is the GCF number.
So the greatest common factor 1475 and 1477 is 1.

Also check out the Least Common Multiple of 1475 and 1477

Properties of GCF 1475 and 1477

(i) The GCF of 1475 and 1477 is associative

GCF of 1475 and 1477 = GCF of 1477 and 1475

Related Greatest Common Factor of 1475

Related Greatest Common Factor of 1477

Frequently Asked Questions on GCF of 1475 and 1477

1. What is the GCF of 1475 and 1477?

Answer: GCF of 1475 and 1477 is 1.

2. 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.

3. What are the Factors of 1477?

Answer: Factors of 1477 are 1, 7, 211, 1477. There are 4 integers that are factors of 1477. The greatest factor of 1477 is 1477.

4. How to Find the GCF of 1475 and 1477?

Answer:

Greatest Common Factor of 1475 and 1477 = 1

Step 1: Find the prime factorization of 1475

1475 = 5 x 5 x 59

Step 2: Find the prime factorization of 1477

1477 = 7 x 211

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 1475 and 1477 is 1