Greatest Common Factor of 2948 and 2954

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 2948, 2954 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2948 and 2954 is 2.

GCF(2948,2954) = 2

GCF of 2948 and 2954

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

GCF of:
and

Greatest Common Factor of 2948 and 2954

GCF of 2948 and 2954 is 2

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

Prime Factorization of 2954


2 2954
7 1477
211 211
1

Prime factors of 2954 are 2,7,211. Prime factorization of 2954 in exponential form is:

2954 = 21×71×2111

∴ So by taking common prime factors GCF of 2948 and 2954 is 2

Greatest Common Factor of 2948 and 2954 by matching factors method

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

Factors of 2954

List of positive integer factors of 2954 that divides 2954 without a remainder.

1,2,7,14,211,422,1477,2954

Greatest Common Factor

We found the factors and prime factorization of 2948 and 2954. The biggest common factor number is the GCF number.
So the greatest common factor 2948 and 2954 is 2.

Also check out the Least Common Multiple of 2948 and 2954

Properties of GCF 2948 and 2954

(i) The GCF of 2948 and 2954 is associative

GCF of 2948 and 2954 = GCF of 2954 and 2948

Related Greatest Common Factor of 2948

Related Greatest Common Factor of 2954

Frequently Asked Questions on GCF of 2948 and 2954

1. What is the GCF of 2948 and 2954?

Answer: GCF of 2948 and 2954 is 2.

2. 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.

3. What are the Factors of 2954?

Answer: Factors of 2954 are 1, 2, 7, 14, 211, 422, 1477, 2954. There are 8 integers that are factors of 2954. The greatest factor of 2954 is 2954.

4. How to Find the GCF of 2948 and 2954?

Answer:

Greatest Common Factor of 2948 and 2954 = 2

Step 1: Find the prime factorization of 2948

2948 = 2 x 2 x 11 x 67

Step 2: Find the prime factorization of 2954

2954 = 2 x 7 x 211

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 2948 and 2954 is 2