Greatest Common Factor of 4944 and 4945

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 4944, 4945 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4944 and 4945 is 1.

GCF(4944,4945) = 1

GCF of 4944 and 4945

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

GCF of:
and

Greatest Common Factor of 4944 and 4945

GCF of 4944 and 4945 is 1

Prime Factorization of 4944


2 4944
2 2472
2 1236
2 618
3 309
103 103
1

Prime factors of 4944 are 2,3,103. Prime factorization of 4944 in exponential form is:

4944 = 24×31×1031

Prime Factorization of 4945


5 4945
23 989
43 43
1

Prime factors of 4945 are 5,23,43. Prime factorization of 4945 in exponential form is:

4945 = 51×231×431

∴ So by taking common prime factors GCF of 4944 and 4945 is 1

Greatest Common Factor of 4944 and 4945 by matching factors method

Factors of 4944

List of positive integer factors of 4944 that divides 4944 without a remainder.

1,2,3,4,6,8,12,16,24,48,103,206,309,412,618,824,1236,1648,2472,4944

Factors of 4945

List of positive integer factors of 4945 that divides 4945 without a remainder.

1,5,23,43,115,215,989,4945

Greatest Common Factor

We found the factors and prime factorization of 4944 and 4945. The biggest common factor number is the GCF number.
So the greatest common factor 4944 and 4945 is 1.

Also check out the Least Common Multiple of 4944 and 4945

Properties of GCF 4944 and 4945

(i) The GCF of 4944 and 4945 is associative

GCF of 4944 and 4945 = GCF of 4945 and 4944

Related Greatest Common Factor of 4944

Related Greatest Common Factor of 4945

Frequently Asked Questions on GCF of 4944 and 4945

1. What is the GCF of 4944 and 4945?

Answer: GCF of 4944 and 4945 is 1.

2. What are the Factors of 4944?

Answer: Factors of 4944 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 103, 206, 309, 412, 618, 824, 1236, 1648, 2472, 4944. There are 20 integers that are factors of 4944. The greatest factor of 4944 is 4944.

3. What are the Factors of 4945?

Answer: Factors of 4945 are 1, 5, 23, 43, 115, 215, 989, 4945. There are 8 integers that are factors of 4945. The greatest factor of 4945 is 4945.

4. How to Find the GCF of 4944 and 4945?

Answer:

Greatest Common Factor of 4944 and 4945 = 1

Step 1: Find the prime factorization of 4944

4944 = 2 x 2 x 2 x 2 x 3 x 103

Step 2: Find the prime factorization of 4945

4945 = 5 x 23 x 43

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 4944 and 4945 is 1