Greatest Common Factor of 148 and 150

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 148, 150 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 148 and 150 is 2.

GCF(148,150) = 2

GCF of 148 and 150

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

GCF of:
and

Greatest Common Factor of 148 and 150

GCF of 148 and 150 is 2

Prime Factorization of 148


2 148
2 74
37 37
1

Prime factors of 148 are 2,37. Prime factorization of 148 in exponential form is:

148 = 22×371

Prime Factorization of 150


2 150
3 75
5 25
5 5
1

Prime factors of 150 are 2,3,5. Prime factorization of 150 in exponential form is:

150 = 21×31×52

∴ So by taking common prime factors GCF of 148 and 150 is 2

Greatest Common Factor of 148 and 150 by matching factors method

Factors of 148

List of positive integer factors of 148 that divides 148 without a remainder.

1,2,4,37,74,148

Factors of 150

List of positive integer factors of 150 that divides 150 without a remainder.

1,2,3,5,6,10,15,25,30,50,75,150

Greatest Common Factor

We found the factors and prime factorization of 148 and 150. The biggest common factor number is the GCF number.
So the greatest common factor 148 and 150 is 2.

Also check out the Least Common Multiple of 148 and 150

Properties of GCF 148 and 150

(i) The GCF of 148 and 150 is associative

GCF of 148 and 150 = GCF of 150 and 148

Related Greatest Common Factor of 148

Related Greatest Common Factor of 150

Frequently Asked Questions on GCF of 148 and 150

1. What is the GCF of 148 and 150?

Answer: GCF of 148 and 150 is 2.

2. What are the Factors of 148?

Answer: Factors of 148 are 1, 2, 4, 37, 74, 148. There are 6 integers that are factors of 148. The greatest factor of 148 is 148.

3. What are the Factors of 150?

Answer: Factors of 150 are 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150. There are 12 integers that are factors of 150. The greatest factor of 150 is 150.

4. How to Find the GCF of 148 and 150?

Answer:

Greatest Common Factor of 148 and 150 = 2

Step 1: Find the prime factorization of 148

148 = 2 x 2 x 37

Step 2: Find the prime factorization of 150

150 = 2 x 3 x 5 x 5

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 148 and 150 is 2