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 156, 158 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 156 and 158 is 2.
GCF(156,158) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 156
2 | 156 |
2 | 78 |
3 | 39 |
13 | 13 |
1 |
Prime factors of 156 are 2,3,13. Prime factorization of 156 in exponential form is:
156 = 22×31×131
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
∴ So by taking common prime factors GCF of 156 and 158 is 2
Factors of 156
List of positive integer factors of 156 that divides 156 without a remainder.
1,2,3,4,6,12,13,26,39,52,78,156
Factors of 158
List of positive integer factors of 158 that divides 158 without a remainder.
1,2,79,158
Greatest Common Factor
We found the factors and prime factorization of 156 and 158. The biggest common factor number is the GCF number.
So the greatest common factor 156 and 158 is 2.
Also check out the Least Common Multiple of 156 and 158
(i) The GCF of 156 and 158 is associative
GCF of 156 and 158 = GCF of 158 and 156
1. What is the GCF of 156 and 158?
Answer: GCF of 156 and 158 is 2.
2. What are the Factors of 156?
Answer: Factors of 156 are 1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156. There are 12 integers that are factors of 156. The greatest factor of 156 is 156.
3. 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.
4. How to Find the GCF of 156 and 158?
Answer:
Greatest Common Factor of 156 and 158 = 2
Step 1: Find the prime factorization of 156
156 = 2 x 2 x 3 x 13
Step 2: Find the prime factorization of 158
158 = 2 x 79
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 156 and 158 is 2