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 4137, 4144 i.e. 7 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 4137 and 4144 is 7.
GCF(4137,4144) = 7
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 4137
3 | 4137 |
7 | 1379 |
197 | 197 |
1 |
Prime factors of 4137 are 3,7,197. Prime factorization of 4137 in exponential form is:
4137 = 31×71×1971
Prime Factorization of 4144
2 | 4144 |
2 | 2072 |
2 | 1036 |
2 | 518 |
7 | 259 |
37 | 37 |
1 |
Prime factors of 4144 are 2,7,37. Prime factorization of 4144 in exponential form is:
4144 = 24×71×371
∴ So by taking common prime factors GCF of 4137 and 4144 is 7
Factors of 4137
List of positive integer factors of 4137 that divides 4137 without a remainder.
1,3,7,21,197,591,1379,4137
Factors of 4144
List of positive integer factors of 4144 that divides 4144 without a remainder.
1,2,4,7,8,14,16,28,37,56,74,112,148,259,296,518,592,1036,2072,4144
Greatest Common Factor
We found the factors and prime factorization of 4137 and 4144. The biggest common factor number is the GCF number.
So the greatest common factor 4137 and 4144 is 7.
Also check out the Least Common Multiple of 4137 and 4144
(i) The GCF of 4137 and 4144 is associative
GCF of 4137 and 4144 = GCF of 4144 and 4137
1. What is the GCF of 4137 and 4144?
Answer: GCF of 4137 and 4144 is 7.
2. What are the Factors of 4137?
Answer: Factors of 4137 are 1, 3, 7, 21, 197, 591, 1379, 4137. There are 8 integers that are factors of 4137. The greatest factor of 4137 is 4137.
3. What are the Factors of 4144?
Answer: Factors of 4144 are 1, 2, 4, 7, 8, 14, 16, 28, 37, 56, 74, 112, 148, 259, 296, 518, 592, 1036, 2072, 4144. There are 20 integers that are factors of 4144. The greatest factor of 4144 is 4144.
4. How to Find the GCF of 4137 and 4144?
Answer:
Greatest Common Factor of 4137 and 4144 = 7
Step 1: Find the prime factorization of 4137
4137 = 3 x 7 x 197
Step 2: Find the prime factorization of 4144
4144 = 2 x 2 x 2 x 2 x 7 x 37
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 7
Step 4: Therefore, the greatest common factor of 4137 and 4144 is 7