Greatest Common Factor of 10145 and 10148

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 10145, 10148 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 10145 and 10148 is 1.

GCF(10145,10148) = 1

GCF of 10145 and 10148

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

GCF of:
and

Greatest Common Factor of 10145 and 10148

GCF of 10145 and 10148 is 1

Prime Factorization of 10145


5 10145
2029 2029
1

Prime factors of 10145 are 5,2029. Prime factorization of 10145 in exponential form is:

10145 = 51×20291

Prime Factorization of 10148


2 10148
2 5074
43 2537
59 59
1

Prime factors of 10148 are 2,43,59. Prime factorization of 10148 in exponential form is:

10148 = 22×431×591

∴ So by taking common prime factors GCF of 10145 and 10148 is 1

Greatest Common Factor of 10145 and 10148 by matching factors method

Factors of 10145

List of positive integer factors of 10145 that divides 10145 without a remainder.

1,5,2029,10145

Factors of 10148

List of positive integer factors of 10148 that divides 10148 without a remainder.

1,2,4,43,59,86,118,172,236,2537,5074,10148

Greatest Common Factor

We found the factors and prime factorization of 10145 and 10148. The biggest common factor number is the GCF number.
So the greatest common factor 10145 and 10148 is 1.

Also check out the Least Common Multiple of 10145 and 10148

Properties of GCF 10145 and 10148

(i) The GCF of 10145 and 10148 is associative

GCF of 10145 and 10148 = GCF of 10148 and 10145

Related Greatest Common Factor of 10145

Related Greatest Common Factor of 10148

Frequently Asked Questions on GCF of 10145 and 10148

1. What is the GCF of 10145 and 10148?

Answer: GCF of 10145 and 10148 is 1.

2. What are the Factors of 10145?

Answer: Factors of 10145 are 1, 5, 2029, 10145. There are 4 integers that are factors of 10145. The greatest factor of 10145 is 10145.

3. What are the Factors of 10148?

Answer: Factors of 10148 are 1, 2, 4, 43, 59, 86, 118, 172, 236, 2537, 5074, 10148. There are 12 integers that are factors of 10148. The greatest factor of 10148 is 10148.

4. How to Find the GCF of 10145 and 10148?

Answer:

Greatest Common Factor of 10145 and 10148 = 1

Step 1: Find the prime factorization of 10145

10145 = 5 x 2029

Step 2: Find the prime factorization of 10148

10148 = 2 x 2 x 43 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 10145 and 10148 is 1