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 151, 154 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 151 and 154 is 1.
GCF(151,154) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 151
151 | 151 |
1 |
Prime factors of 151 are 151. Prime factorization of 151 in exponential form is:
151 = 1511
Prime Factorization of 154
2 | 154 |
7 | 77 |
11 | 11 |
1 |
Prime factors of 154 are 2.Prime factorization of 154 in exponential form is:
154 = 21×71×111
∴ So by taking common prime factors GCF of 151 and 154 is 1
Factors of 151
List of positive integer factors of 151 that divides 151 without a remainder.
1,151
Factors of 154
List of positive integer factors of 154 that divides 154 without a remainder.
1,2,7,11,14,22,77,154
Greatest Common Factor
We found the factors and prime factorization of 151 and 154. The biggest common factor number is the GCF number.
So the greatest common factor 151 and 154 is 1.
Also check out the Least Common Multiple of 151 and 154
(i) The GCF of 151 and 154 is associative
GCF of 151 and 154 = GCF of 154 and 151
1. What is the GCF of 151 and 154?
Answer: GCF of 151 and 154 is 1.
2. What are the Factors of 151?
Answer: Factors of 151 are 1, 151. There are 2 integers that are factors of 151. The greatest factor of 151 is 151.
3. What are the Factors of 154?
Answer: Factors of 154 are 1, 2, 7, 11, 14, 22, 77, 154. There are 8 integers that are factors of 154. The greatest factor of 154 is 154.
4. How to Find the GCF of 151 and 154?
Answer:
Greatest Common Factor of 151 and 154 = 1
Step 1: Find the prime factorization of 151
151 = 151
Step 2: Find the prime factorization of 154
154 = 2 x 7 x 11
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 151 and 154 is 1