Greatest Common Factor of 938 and 944

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 938, 944 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 938 and 944 is 2.

GCF(938,944) = 2

GCF of 938 and 944

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

GCF of:
and

Greatest Common Factor of 938 and 944

GCF of 938 and 944 is 2

Prime Factorization of 938


2 938
7 469
67 67
1

Prime factors of 938 are 2,7,67. Prime factorization of 938 in exponential form is:

938 = 21×71×671

Prime Factorization of 944


2 944
2 472
2 236
2 118
59 59
1

Prime factors of 944 are 2,59. Prime factorization of 944 in exponential form is:

944 = 24×591

∴ So by taking common prime factors GCF of 938 and 944 is 2

Greatest Common Factor of 938 and 944 by matching factors method

Factors of 938

List of positive integer factors of 938 that divides 938 without a remainder.

1,2,7,14,67,134,469,938

Factors of 944

List of positive integer factors of 944 that divides 944 without a remainder.

1,2,4,8,16,59,118,236,472,944

Greatest Common Factor

We found the factors and prime factorization of 938 and 944. The biggest common factor number is the GCF number.
So the greatest common factor 938 and 944 is 2.

Also check out the Least Common Multiple of 938 and 944

Properties of GCF 938 and 944

(i) The GCF of 938 and 944 is associative

GCF of 938 and 944 = GCF of 944 and 938

Related Greatest Common Factor of 938

Related Greatest Common Factor of 944

Frequently Asked Questions on GCF of 938 and 944

1. What is the GCF of 938 and 944?

Answer: GCF of 938 and 944 is 2.

2. What are the Factors of 938?

Answer: Factors of 938 are 1, 2, 7, 14, 67, 134, 469, 938. There are 8 integers that are factors of 938. The greatest factor of 938 is 938.

3. What are the Factors of 944?

Answer: Factors of 944 are 1, 2, 4, 8, 16, 59, 118, 236, 472, 944. There are 10 integers that are factors of 944. The greatest factor of 944 is 944.

4. How to Find the GCF of 938 and 944?

Answer:

Greatest Common Factor of 938 and 944 = 2

Step 1: Find the prime factorization of 938

938 = 2 x 7 x 67

Step 2: Find the prime factorization of 944

944 = 2 x 2 x 2 x 2 x 59

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 938 and 944 is 2