Greatest Common Factor of 148 and 149

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

Greatest common factor (GCF) of 148 and 149 is 1.

GCF(148,149) = 1

GCF of 148 and 149

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

GCF of:
and

Greatest Common Factor of 148 and 149

GCF of 148 and 149 is 1

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 149


149 149
1

Prime factors of 149 are 149. Prime factorization of 149 in exponential form is:

149 = 1491

∴ So by taking common prime factors GCF of 148 and 149 is 1

Greatest Common Factor of 148 and 149 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 149

List of positive integer factors of 149 that divides 149 without a remainder.

1,149

Greatest Common Factor

We found the factors and prime factorization of 148 and 149. The biggest common factor number is the GCF number.
So the greatest common factor 148 and 149 is 1.

Also check out the Least Common Multiple of 148 and 149

Properties of GCF 148 and 149

(i) The GCF of 148 and 149 is associative

GCF of 148 and 149 = GCF of 149 and 148

Related Greatest Common Factor of 148

Related Greatest Common Factor of 149

Frequently Asked Questions on GCF of 148 and 149

1. What is the GCF of 148 and 149?

Answer: GCF of 148 and 149 is 1.

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 149?

Answer: Factors of 149 are 1, 149. There are 2 integers that are factors of 149. The greatest factor of 149 is 149.

4. How to Find the GCF of 148 and 149?

Answer:

Greatest Common Factor of 148 and 149 = 1

Step 1: Find the prime factorization of 148

148 = 2 x 2 x 37

Step 2: Find the prime factorization of 149

149 = 149

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 148 and 149 is 1