Greatest Common Factor of 1125 and 1127

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 1125, 1127 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1125 and 1127 is 1.

GCF(1125,1127) = 1

GCF of 1125 and 1127

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

GCF of:
and

Greatest Common Factor of 1125 and 1127

GCF of 1125 and 1127 is 1

Prime Factorization of 1125


3 1125
3 375
5 125
5 25
5 5
1

Prime factors of 1125 are 3,5. Prime factorization of 1125 in exponential form is:

1125 = 32×53

Prime Factorization of 1127


7 1127
7 161
23 23
1

Prime factors of 1127 are 7,23. Prime factorization of 1127 in exponential form is:

1127 = 72×231

∴ So by taking common prime factors GCF of 1125 and 1127 is 1

Greatest Common Factor of 1125 and 1127 by matching factors method

Factors of 1125

List of positive integer factors of 1125 that divides 1125 without a remainder.

1,3,5,9,15,25,45,75,125,225,375,1125

Factors of 1127

List of positive integer factors of 1127 that divides 1127 without a remainder.

1,7,23,49,161,1127

Greatest Common Factor

We found the factors and prime factorization of 1125 and 1127. The biggest common factor number is the GCF number.
So the greatest common factor 1125 and 1127 is 1.

Also check out the Least Common Multiple of 1125 and 1127

Properties of GCF 1125 and 1127

(i) The GCF of 1125 and 1127 is associative

GCF of 1125 and 1127 = GCF of 1127 and 1125

Related Greatest Common Factor of 1125

Related Greatest Common Factor of 1127

Frequently Asked Questions on GCF of 1125 and 1127

1. What is the GCF of 1125 and 1127?

Answer: GCF of 1125 and 1127 is 1.

2. What are the Factors of 1125?

Answer: Factors of 1125 are 1, 3, 5, 9, 15, 25, 45, 75, 125, 225, 375, 1125. There are 12 integers that are factors of 1125. The greatest factor of 1125 is 1125.

3. What are the Factors of 1127?

Answer: Factors of 1127 are 1, 7, 23, 49, 161, 1127. There are 6 integers that are factors of 1127. The greatest factor of 1127 is 1127.

4. How to Find the GCF of 1125 and 1127?

Answer:

Greatest Common Factor of 1125 and 1127 = 1

Step 1: Find the prime factorization of 1125

1125 = 3 x 3 x 5 x 5 x 5

Step 2: Find the prime factorization of 1127

1127 = 7 x 7 x 23

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 1125 and 1127 is 1