Greatest Common Factor of 140 and 148

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 140, 148 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 140 and 148 is 4.

GCF(140,148) = 4

GCF of 140 and 148

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

GCF of:
and

Greatest Common Factor of 140 and 148

GCF of 140 and 148 is 4

Prime Factorization of 140


2 140
2 70
5 35
7 7
1

Prime factors of 140 are 2,5,7. Prime factorization of 140 in exponential form is:

140 = 22×51×71

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

∴ So by taking common prime factors GCF of 140 and 148 is 4

Greatest Common Factor of 140 and 148 by matching factors method

Factors of 140

List of positive integer factors of 140 that divides 140 without a remainder.

1,2,4,5,7,10,14,20,28,35,70,140

Factors of 148

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

1,2,4,37,74,148

Greatest Common Factor

We found the factors and prime factorization of 140 and 148. The biggest common factor number is the GCF number.
So the greatest common factor 140 and 148 is 4.

Also check out the Least Common Multiple of 140 and 148

Properties of GCF 140 and 148

(i) The GCF of 140 and 148 is associative

GCF of 140 and 148 = GCF of 148 and 140

Related Greatest Common Factor of 140

Related Greatest Common Factor of 148

Frequently Asked Questions on GCF of 140 and 148

1. What is the GCF of 140 and 148?

Answer: GCF of 140 and 148 is 4.

2. What are the Factors of 140?

Answer: Factors of 140 are 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140. There are 12 integers that are factors of 140. The greatest factor of 140 is 140.

3. 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.

4. How to Find the GCF of 140 and 148?

Answer:

Greatest Common Factor of 140 and 148 = 4

Step 1: Find the prime factorization of 140

140 = 2 x 2 x 5 x 7

Step 2: Find the prime factorization of 148

148 = 2 x 2 x 37

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 140 and 148 is 4