Greatest Common Factor of 37150 and 37153

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 37150, 37153 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 37150 and 37153 is 1.

GCF(37150,37153) = 1

GCF of 37150 and 37153

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

GCF of:
and

Greatest Common Factor of 37150 and 37153

GCF of 37150 and 37153 is 1

Prime Factorization of 37150


2 37150
5 18575
5 3715
743 743
1

Prime factors of 37150 are 2,5,743. Prime factorization of 37150 in exponential form is:

37150 = 21×52×7431

Prime Factorization of 37153


53 37153
701 701
1

Prime factors of 37153 are 53,701. Prime factorization of 37153 in exponential form is:

37153 = 531×7011

∴ So by taking common prime factors GCF of 37150 and 37153 is 1

Greatest Common Factor of 37150 and 37153 by matching factors method

Factors of 37150

List of positive integer factors of 37150 that divides 37150 without a remainder.

1,2,5,10,25,50,743,1486,3715,7430,18575,37150

Factors of 37153

List of positive integer factors of 37153 that divides 37153 without a remainder.

1,53,701,37153

Greatest Common Factor

We found the factors and prime factorization of 37150 and 37153. The biggest common factor number is the GCF number.
So the greatest common factor 37150 and 37153 is 1.

Also check out the Least Common Multiple of 37150 and 37153

Properties of GCF 37150 and 37153

(i) The GCF of 37150 and 37153 is associative

GCF of 37150 and 37153 = GCF of 37153 and 37150

Frequently Asked Questions on GCF of 37150 and 37153

1. What is the GCF of 37150 and 37153?

Answer: GCF of 37150 and 37153 is 1.

2. What are the Factors of 37150?

Answer: Factors of 37150 are 1, 2, 5, 10, 25, 50, 743, 1486, 3715, 7430, 18575, 37150. There are 12 integers that are factors of 37150. The greatest factor of 37150 is 37150.

3. What are the Factors of 37153?

Answer: Factors of 37153 are 1, 53, 701, 37153. There are 4 integers that are factors of 37153. The greatest factor of 37153 is 37153.

4. How to Find the GCF of 37150 and 37153?

Answer:

Greatest Common Factor of 37150 and 37153 = 1

Step 1: Find the prime factorization of 37150

37150 = 2 x 5 x 5 x 743

Step 2: Find the prime factorization of 37153

37153 = 53 x 701

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 37150 and 37153 is 1