Greatest Common Factor of 2942 and 2948

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 2942, 2948 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2942 and 2948 is 2.

GCF(2942,2948) = 2

GCF of 2942 and 2948

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

GCF of:
and

Greatest Common Factor of 2942 and 2948

GCF of 2942 and 2948 is 2

Prime Factorization of 2942


2 2942
1471 1471
1

Prime factors of 2942 are 2,1471. Prime factorization of 2942 in exponential form is:

2942 = 21×14711

Prime Factorization of 2948


2 2948
2 1474
11 737
67 67
1

Prime factors of 2948 are 2,11,67. Prime factorization of 2948 in exponential form is:

2948 = 22×111×671

∴ So by taking common prime factors GCF of 2942 and 2948 is 2

Greatest Common Factor of 2942 and 2948 by matching factors method

Factors of 2942

List of positive integer factors of 2942 that divides 2942 without a remainder.

1,2,1471,2942

Factors of 2948

List of positive integer factors of 2948 that divides 2948 without a remainder.

1,2,4,11,22,44,67,134,268,737,1474,2948

Greatest Common Factor

We found the factors and prime factorization of 2942 and 2948. The biggest common factor number is the GCF number.
So the greatest common factor 2942 and 2948 is 2.

Also check out the Least Common Multiple of 2942 and 2948

Properties of GCF 2942 and 2948

(i) The GCF of 2942 and 2948 is associative

GCF of 2942 and 2948 = GCF of 2948 and 2942

Related Greatest Common Factor of 2942

Related Greatest Common Factor of 2948

Frequently Asked Questions on GCF of 2942 and 2948

1. What is the GCF of 2942 and 2948?

Answer: GCF of 2942 and 2948 is 2.

2. What are the Factors of 2942?

Answer: Factors of 2942 are 1, 2, 1471, 2942. There are 4 integers that are factors of 2942. The greatest factor of 2942 is 2942.

3. What are the Factors of 2948?

Answer: Factors of 2948 are 1, 2, 4, 11, 22, 44, 67, 134, 268, 737, 1474, 2948. There are 12 integers that are factors of 2948. The greatest factor of 2948 is 2948.

4. How to Find the GCF of 2942 and 2948?

Answer:

Greatest Common Factor of 2942 and 2948 = 2

Step 1: Find the prime factorization of 2942

2942 = 2 x 1471

Step 2: Find the prime factorization of 2948

2948 = 2 x 2 x 11 x 67

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 2942 and 2948 is 2