Greatest Common Factor of 2940 and 2945

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 2940, 2945 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2940 and 2945 is 5.

GCF(2940,2945) = 5

GCF of 2940 and 2945

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

GCF of:
and

Greatest Common Factor of 2940 and 2945

GCF of 2940 and 2945 is 5

Prime Factorization of 2940


2 2940
2 1470
3 735
5 245
7 49
7 7
1

Prime factors of 2940 are 2,3,5,7. Prime factorization of 2940 in exponential form is:

2940 = 22×31×51×72

Prime Factorization of 2945


5 2945
19 589
31 31
1

Prime factors of 2945 are 5,19,31. Prime factorization of 2945 in exponential form is:

2945 = 51×191×311

∴ So by taking common prime factors GCF of 2940 and 2945 is 5

Greatest Common Factor of 2940 and 2945 by matching factors method

Factors of 2940

List of positive integer factors of 2940 that divides 2940 without a remainder.

1,2,3,4,5,6,7,10,12,14,15,20,21,28,30,35,42,49,60,70,84,98,105,140,147,196,210,245,294,420,490,588,735,980,1470,2940

Factors of 2945

List of positive integer factors of 2945 that divides 2945 without a remainder.

1,5,19,31,95,155,589,2945

Greatest Common Factor

We found the factors and prime factorization of 2940 and 2945. The biggest common factor number is the GCF number.
So the greatest common factor 2940 and 2945 is 5.

Also check out the Least Common Multiple of 2940 and 2945

Properties of GCF 2940 and 2945

(i) The GCF of 2940 and 2945 is associative

GCF of 2940 and 2945 = GCF of 2945 and 2940

Related Greatest Common Factor of 2940

Related Greatest Common Factor of 2945

Frequently Asked Questions on GCF of 2940 and 2945

1. What is the GCF of 2940 and 2945?

Answer: GCF of 2940 and 2945 is 5.

2. What are the Factors of 2940?

Answer: Factors of 2940 are 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 49, 60, 70, 84, 98, 105, 140, 147, 196, 210, 245, 294, 420, 490, 588, 735, 980, 1470, 2940. There are 36 integers that are factors of 2940. The greatest factor of 2940 is 2940.

3. What are the Factors of 2945?

Answer: Factors of 2945 are 1, 5, 19, 31, 95, 155, 589, 2945. There are 8 integers that are factors of 2945. The greatest factor of 2945 is 2945.

4. How to Find the GCF of 2940 and 2945?

Answer:

Greatest Common Factor of 2940 and 2945 = 5

Step 1: Find the prime factorization of 2940

2940 = 2 x 2 x 3 x 5 x 7 x 7

Step 2: Find the prime factorization of 2945

2945 = 5 x 19 x 31

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

GCF = 5

Step 4: Therefore, the greatest common factor of 2940 and 2945 is 5