Greatest Common Factor of 1469 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 1469, 1475 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1469 and 1475 is 1.

GCF(1469,1475) = 1

GCF of 1469 and 1475

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

GCF of:
and

Greatest Common Factor of 1469 and 1475

GCF of 1469 and 1475 is 1

Prime Factorization of 1469


13 1469
113 113
1

Prime factors of 1469 are 13,113. Prime factorization of 1469 in exponential form is:

1469 = 131×1131

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 1469 and 1475 is 1

Greatest Common Factor of 1469 and 1475 by matching factors method

Factors of 1469

List of positive integer factors of 1469 that divides 1469 without a remainder.

1,13,113,1469

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 1469 and 1475. The biggest common factor number is the GCF number.
So the greatest common factor 1469 and 1475 is 1.

Also check out the Least Common Multiple of 1469 and 1475

Properties of GCF 1469 and 1475

(i) The GCF of 1469 and 1475 is associative

GCF of 1469 and 1475 = GCF of 1475 and 1469

Related Greatest Common Factor of 1469

Related Greatest Common Factor of 1475

Frequently Asked Questions on GCF of 1469 and 1475

1. What is the GCF of 1469 and 1475?

Answer: GCF of 1469 and 1475 is 1.

2. What are the Factors of 1469?

Answer: Factors of 1469 are 1, 13, 113, 1469. There are 4 integers that are factors of 1469. The greatest factor of 1469 is 1469.

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 1469 and 1475?

Answer:

Greatest Common Factor of 1469 and 1475 = 1

Step 1: Find the prime factorization of 1469

1469 = 13 x 113

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 1469 and 1475 is 1