Greatest Common Factor of 10275 and 10283

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 10275, 10283 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 10275 and 10283 is 1.

GCF(10275,10283) = 1

GCF of 10275 and 10283

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

GCF of:
and

Greatest Common Factor of 10275 and 10283

GCF of 10275 and 10283 is 1

Prime Factorization of 10275


3 10275
5 3425
5 685
137 137
1

Prime factors of 10275 are 3,5,137. Prime factorization of 10275 in exponential form is:

10275 = 31×52×1371

Prime Factorization of 10283


7 10283
13 1469
113 113
1

Prime factors of 10283 are 7,13,113. Prime factorization of 10283 in exponential form is:

10283 = 71×131×1131

∴ So by taking common prime factors GCF of 10275 and 10283 is 1

Greatest Common Factor of 10275 and 10283 by matching factors method

Factors of 10275

List of positive integer factors of 10275 that divides 10275 without a remainder.

1,3,5,15,25,75,137,411,685,2055,3425,10275

Factors of 10283

List of positive integer factors of 10283 that divides 10283 without a remainder.

1,7,13,91,113,791,1469,10283

Greatest Common Factor

We found the factors and prime factorization of 10275 and 10283. The biggest common factor number is the GCF number.
So the greatest common factor 10275 and 10283 is 1.

Also check out the Least Common Multiple of 10275 and 10283

Properties of GCF 10275 and 10283

(i) The GCF of 10275 and 10283 is associative

GCF of 10275 and 10283 = GCF of 10283 and 10275

Related Greatest Common Factor of 10275

Related Greatest Common Factor of 10283

Frequently Asked Questions on GCF of 10275 and 10283

1. What is the GCF of 10275 and 10283?

Answer: GCF of 10275 and 10283 is 1.

2. What are the Factors of 10275?

Answer: Factors of 10275 are 1, 3, 5, 15, 25, 75, 137, 411, 685, 2055, 3425, 10275. There are 12 integers that are factors of 10275. The greatest factor of 10275 is 10275.

3. What are the Factors of 10283?

Answer: Factors of 10283 are 1, 7, 13, 91, 113, 791, 1469, 10283. There are 8 integers that are factors of 10283. The greatest factor of 10283 is 10283.

4. How to Find the GCF of 10275 and 10283?

Answer:

Greatest Common Factor of 10275 and 10283 = 1

Step 1: Find the prime factorization of 10275

10275 = 3 x 5 x 5 x 137

Step 2: Find the prime factorization of 10283

10283 = 7 x 13 x 113

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 10275 and 10283 is 1