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 137, 138 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 137 and 138 is 1.
GCF(137,138) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 137
137 | 137 |
1 |
Prime factors of 137 are 137. Prime factorization of 137 in exponential form is:
137 = 1371
Prime Factorization of 138
2 | 138 |
3 | 69 |
23 | 23 |
1 |
Prime factors of 138 are 2.Prime factorization of 138 in exponential form is:
138 = 21×31×231
∴ So by taking common prime factors GCF of 137 and 138 is 1
Factors of 137
List of positive integer factors of 137 that divides 137 without a remainder.
1,137
Factors of 138
List of positive integer factors of 138 that divides 138 without a remainder.
1,2,3,6,23,46,69,138
Greatest Common Factor
We found the factors and prime factorization of 137 and 138. The biggest common factor number is the GCF number.
So the greatest common factor 137 and 138 is 1.
Also check out the Least Common Multiple of 137 and 138
(i) The GCF of 137 and 138 is associative
GCF of 137 and 138 = GCF of 138 and 137
1. What is the GCF of 137 and 138?
Answer: GCF of 137 and 138 is 1.
2. What are the Factors of 137?
Answer: Factors of 137 are 1, 137. There are 2 integers that are factors of 137. The greatest factor of 137 is 137.
3. What are the Factors of 138?
Answer: Factors of 138 are 1, 2, 3, 6, 23, 46, 69, 138. There are 8 integers that are factors of 138. The greatest factor of 138 is 138.
4. How to Find the GCF of 137 and 138?
Answer:
Greatest Common Factor of 137 and 138 = 1
Step 1: Find the prime factorization of 137
137 = 137
Step 2: Find the prime factorization of 138
138 = 2 x 3 x 23
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 137 and 138 is 1