Greatest Common Factor of 154 and 157

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 154, 157 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 154 and 157 is 1.

GCF(154,157) = 1

GCF of 154 and 157

Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;

GCF of:
and

Greatest Common Factor of 154 and 157

GCF of 154 and 157 is 1

Prime Factorization of 154


2 154
7 77
11 11
1

Prime factors of 154 are 2,7,11. Prime factorization of 154 in exponential form is:

154 = 21×71×111

Prime Factorization of 157


157 157
1

Prime factors of 157 are 157. Prime factorization of 157 in exponential form is:

157 = 1571

∴ So by taking common prime factors GCF of 154 and 157 is 1

Greatest Common Factor of 154 and 157 by matching factors method

Factors of 154

List of positive integer factors of 154 that divides 154 without a remainder.

1,2,7,11,14,22,77,154

Factors of 157

List of positive integer factors of 157 that divides 157 without a remainder.

1,157

Greatest Common Factor

We found the factors and prime factorization of 154 and 157. The biggest common factor number is the GCF number.
So the greatest common factor 154 and 157 is 1.

Also check out the Least Common Multiple of 154 and 157

Properties of GCF 154 and 157

(i) The GCF of 154 and 157 is associative

GCF of 154 and 157 = GCF of 157 and 154

Related Greatest Common Factor of 154

Related Greatest Common Factor of 157

Frequently Asked Questions on GCF of 154 and 157

1. What is the GCF of 154 and 157?

Answer: GCF of 154 and 157 is 1.

2. 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.

3. What are the Factors of 157?

Answer: Factors of 157 are 1, 157. There are 2 integers that are factors of 157. The greatest factor of 157 is 157.

4. How to Find the GCF of 154 and 157?

Answer:

Greatest Common Factor of 154 and 157 = 1

Step 1: Find the prime factorization of 154

154 = 2 x 7 x 11

Step 2: Find the prime factorization of 157

157 = 157

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 154 and 157 is 1