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 158, 164 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 158 and 164 is 2.
GCF(158,164) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 158
2 | 158 |
79 | 79 |
1 |
Prime factors of 158 are 2,79. Prime factorization of 158 in exponential form is:
158 = 21×791
Prime Factorization of 164
2 | 164 |
2 | 82 |
41 | 41 |
1 |
Prime factors of 164 are 2,41. Prime factorization of 164 in exponential form is:
164 = 22×411
∴ So by taking common prime factors GCF of 158 and 164 is 2
Factors of 158
List of positive integer factors of 158 that divides 158 without a remainder.
1,2,79,158
Factors of 164
List of positive integer factors of 164 that divides 164 without a remainder.
1,2,4,41,82,164
Greatest Common Factor
We found the factors and prime factorization of 158 and 164. The biggest common factor number is the GCF number.
So the greatest common factor 158 and 164 is 2.
Also check out the Least Common Multiple of 158 and 164
(i) The GCF of 158 and 164 is associative
GCF of 158 and 164 = GCF of 164 and 158
1. What is the GCF of 158 and 164?
Answer: GCF of 158 and 164 is 2.
2. What are the Factors of 158?
Answer: Factors of 158 are 1, 2, 79, 158. There are 4 integers that are factors of 158. The greatest factor of 158 is 158.
3. What are the Factors of 164?
Answer: Factors of 164 are 1, 2, 4, 41, 82, 164. There are 6 integers that are factors of 164. The greatest factor of 164 is 164.
4. How to Find the GCF of 158 and 164?
Answer:
Greatest Common Factor of 158 and 164 = 2
Step 1: Find the prime factorization of 158
158 = 2 x 79
Step 2: Find the prime factorization of 164
164 = 2 x 2 x 41
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 2
Step 4: Therefore, the greatest common factor of 158 and 164 is 2