Greatest Common Factor of 148 and 156

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

Greatest common factor (GCF) of 148 and 156 is 4.

GCF(148,156) = 4

GCF of 148 and 156

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

GCF of:
and

Greatest Common Factor of 148 and 156

GCF of 148 and 156 is 4

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 156


2 156
2 78
3 39
13 13
1

Prime factors of 156 are 2,3,13. Prime factorization of 156 in exponential form is:

156 = 22×31×131

∴ So by taking common prime factors GCF of 148 and 156 is 4

Greatest Common Factor of 148 and 156 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 156

List of positive integer factors of 156 that divides 156 without a remainder.

1,2,3,4,6,12,13,26,39,52,78,156

Greatest Common Factor

We found the factors and prime factorization of 148 and 156. The biggest common factor number is the GCF number.
So the greatest common factor 148 and 156 is 4.

Also check out the Least Common Multiple of 148 and 156

Properties of GCF 148 and 156

(i) The GCF of 148 and 156 is associative

GCF of 148 and 156 = GCF of 156 and 148

Related Greatest Common Factor of 148

Related Greatest Common Factor of 156

Frequently Asked Questions on GCF of 148 and 156

1. What is the GCF of 148 and 156?

Answer: GCF of 148 and 156 is 4.

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 156?

Answer: Factors of 156 are 1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156. There are 12 integers that are factors of 156. The greatest factor of 156 is 156.

4. How to Find the GCF of 148 and 156?

Answer:

Greatest Common Factor of 148 and 156 = 4

Step 1: Find the prime factorization of 148

148 = 2 x 2 x 37

Step 2: Find the prime factorization of 156

156 = 2 x 2 x 3 x 13

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 148 and 156 is 4