Greatest Common Factor of 2929 and 2937

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 2929, 2937 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2929 and 2937 is 1.

GCF(2929,2937) = 1

GCF of 2929 and 2937

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

GCF of:
and

Greatest Common Factor of 2929 and 2937

GCF of 2929 and 2937 is 1

Prime Factorization of 2929


29 2929
101 101
1

Prime factors of 2929 are 29,101. Prime factorization of 2929 in exponential form is:

2929 = 291×1011

Prime Factorization of 2937


3 2937
11 979
89 89
1

Prime factors of 2937 are 3,11,89. Prime factorization of 2937 in exponential form is:

2937 = 31×111×891

∴ So by taking common prime factors GCF of 2929 and 2937 is 1

Greatest Common Factor of 2929 and 2937 by matching factors method

Factors of 2929

List of positive integer factors of 2929 that divides 2929 without a remainder.

1,29,101,2929

Factors of 2937

List of positive integer factors of 2937 that divides 2937 without a remainder.

1,3,11,33,89,267,979,2937

Greatest Common Factor

We found the factors and prime factorization of 2929 and 2937. The biggest common factor number is the GCF number.
So the greatest common factor 2929 and 2937 is 1.

Also check out the Least Common Multiple of 2929 and 2937

Properties of GCF 2929 and 2937

(i) The GCF of 2929 and 2937 is associative

GCF of 2929 and 2937 = GCF of 2937 and 2929

Related Greatest Common Factor of 2929

Related Greatest Common Factor of 2937

Frequently Asked Questions on GCF of 2929 and 2937

1. What is the GCF of 2929 and 2937?

Answer: GCF of 2929 and 2937 is 1.

2. What are the Factors of 2929?

Answer: Factors of 2929 are 1, 29, 101, 2929. There are 4 integers that are factors of 2929. The greatest factor of 2929 is 2929.

3. What are the Factors of 2937?

Answer: Factors of 2937 are 1, 3, 11, 33, 89, 267, 979, 2937. There are 8 integers that are factors of 2937. The greatest factor of 2937 is 2937.

4. How to Find the GCF of 2929 and 2937?

Answer:

Greatest Common Factor of 2929 and 2937 = 1

Step 1: Find the prime factorization of 2929

2929 = 29 x 101

Step 2: Find the prime factorization of 2937

2937 = 3 x 11 x 89

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 2929 and 2937 is 1