Greatest Common Factor of 142 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 142, 148 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 142 and 148 is 2.

GCF(142,148) = 2

GCF of 142 and 148

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

GCF of:
and

Greatest Common Factor of 142 and 148

GCF of 142 and 148 is 2

Prime Factorization of 142


2 142
71 71
1

Prime factors of 142 are 2,71. Prime factorization of 142 in exponential form is:

142 = 21×711

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 142 and 148 is 2

Greatest Common Factor of 142 and 148 by matching factors method

Factors of 142

List of positive integer factors of 142 that divides 142 without a remainder.

1,2,71,142

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 142 and 148. The biggest common factor number is the GCF number.
So the greatest common factor 142 and 148 is 2.

Also check out the Least Common Multiple of 142 and 148

Properties of GCF 142 and 148

(i) The GCF of 142 and 148 is associative

GCF of 142 and 148 = GCF of 148 and 142

Related Greatest Common Factor of 142

Related Greatest Common Factor of 148

Frequently Asked Questions on GCF of 142 and 148

1. What is the GCF of 142 and 148?

Answer: GCF of 142 and 148 is 2.

2. What are the Factors of 142?

Answer: Factors of 142 are 1, 2, 71, 142. There are 4 integers that are factors of 142. The greatest factor of 142 is 142.

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 142 and 148?

Answer:

Greatest Common Factor of 142 and 148 = 2

Step 1: Find the prime factorization of 142

142 = 2 x 71

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

Step 4: Therefore, the greatest common factor of 142 and 148 is 2