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
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
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
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
(i) The GCF of 37150 and 37153 is associative
GCF of 37150 and 37153 = GCF of 37153 and 37150
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