Greatest Common Factor of 2948 and 2949

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, 2949 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2948 and 2949 is 1.

GCF(2948,2949) = 1

GCF of 2948 and 2949

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

GCF of:
and

Greatest Common Factor of 2948 and 2949

GCF of 2948 and 2949 is 1

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 2949


3 2949
983 983
1

Prime factors of 2949 are 3,983. Prime factorization of 2949 in exponential form is:

2949 = 31×9831

∴ So by taking common prime factors GCF of 2948 and 2949 is 1

Greatest Common Factor of 2948 and 2949 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 2949

List of positive integer factors of 2949 that divides 2949 without a remainder.

1,3,983,2949

Greatest Common Factor

We found the factors and prime factorization of 2948 and 2949. The biggest common factor number is the GCF number.
So the greatest common factor 2948 and 2949 is 1.

Also check out the Least Common Multiple of 2948 and 2949

Properties of GCF 2948 and 2949

(i) The GCF of 2948 and 2949 is associative

GCF of 2948 and 2949 = GCF of 2949 and 2948

Related Greatest Common Factor of 2948

Related Greatest Common Factor of 2949

Frequently Asked Questions on GCF of 2948 and 2949

1. What is the GCF of 2948 and 2949?

Answer: GCF of 2948 and 2949 is 1.

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 2949?

Answer: Factors of 2949 are 1, 3, 983, 2949. There are 4 integers that are factors of 2949. The greatest factor of 2949 is 2949.

4. How to Find the GCF of 2948 and 2949?

Answer:

Greatest Common Factor of 2948 and 2949 = 1

Step 1: Find the prime factorization of 2948

2948 = 2 x 2 x 11 x 67

Step 2: Find the prime factorization of 2949

2949 = 3 x 983

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = = 1

Step 4: Therefore, the greatest common factor of 2948 and 2949 is 1