Greatest Common Factor of 3142 and 3148

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 3142, 3148 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3142 and 3148 is 2.

GCF(3142,3148) = 2

GCF of 3142 and 3148

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

GCF of:
and

Greatest Common Factor of 3142 and 3148

GCF of 3142 and 3148 is 2

Prime Factorization of 3142


2 3142
1571 1571
1

Prime factors of 3142 are 2,1571. Prime factorization of 3142 in exponential form is:

3142 = 21×15711

Prime Factorization of 3148


2 3148
2 1574
787 787
1

Prime factors of 3148 are 2,787. Prime factorization of 3148 in exponential form is:

3148 = 22×7871

∴ So by taking common prime factors GCF of 3142 and 3148 is 2

Greatest Common Factor of 3142 and 3148 by matching factors method

Factors of 3142

List of positive integer factors of 3142 that divides 3142 without a remainder.

1,2,1571,3142

Factors of 3148

List of positive integer factors of 3148 that divides 3148 without a remainder.

1,2,4,787,1574,3148

Greatest Common Factor

We found the factors and prime factorization of 3142 and 3148. The biggest common factor number is the GCF number.
So the greatest common factor 3142 and 3148 is 2.

Also check out the Least Common Multiple of 3142 and 3148

Properties of GCF 3142 and 3148

(i) The GCF of 3142 and 3148 is associative

GCF of 3142 and 3148 = GCF of 3148 and 3142

Related Greatest Common Factor of 3142

Related Greatest Common Factor of 3148

Frequently Asked Questions on GCF of 3142 and 3148

1. What is the GCF of 3142 and 3148?

Answer: GCF of 3142 and 3148 is 2.

2. What are the Factors of 3142?

Answer: Factors of 3142 are 1, 2, 1571, 3142. There are 4 integers that are factors of 3142. The greatest factor of 3142 is 3142.

3. What are the Factors of 3148?

Answer: Factors of 3148 are 1, 2, 4, 787, 1574, 3148. There are 6 integers that are factors of 3148. The greatest factor of 3148 is 3148.

4. How to Find the GCF of 3142 and 3148?

Answer:

Greatest Common Factor of 3142 and 3148 = 2

Step 1: Find the prime factorization of 3142

3142 = 2 x 1571

Step 2: Find the prime factorization of 3148

3148 = 2 x 2 x 787

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 3142 and 3148 is 2