Greatest Common Factor of 938 and 945

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, 945 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 938 and 945 is 7.

GCF(938,945) = 7

GCF of 938 and 945

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

GCF of:
and

Greatest Common Factor of 938 and 945

GCF of 938 and 945 is 7

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 945


3 945
3 315
3 105
5 35
7 7
1

Prime factors of 945 are 3,5,7. Prime factorization of 945 in exponential form is:

945 = 33×51×71

∴ So by taking common prime factors GCF of 938 and 945 is 7

Greatest Common Factor of 938 and 945 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 945

List of positive integer factors of 945 that divides 945 without a remainder.

1,3,5,7,9,15,21,27,35,45,63,105,135,189,315,945

Greatest Common Factor

We found the factors and prime factorization of 938 and 945. The biggest common factor number is the GCF number.
So the greatest common factor 938 and 945 is 7.

Also check out the Least Common Multiple of 938 and 945

Properties of GCF 938 and 945

(i) The GCF of 938 and 945 is associative

GCF of 938 and 945 = GCF of 945 and 938

Related Greatest Common Factor of 938

Related Greatest Common Factor of 945

Frequently Asked Questions on GCF of 938 and 945

1. What is the GCF of 938 and 945?

Answer: GCF of 938 and 945 is 7.

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 945?

Answer: Factors of 945 are 1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945. There are 16 integers that are factors of 945. The greatest factor of 945 is 945.

4. How to Find the GCF of 938 and 945?

Answer:

Greatest Common Factor of 938 and 945 = 7

Step 1: Find the prime factorization of 938

938 = 2 x 7 x 67

Step 2: Find the prime factorization of 945

945 = 3 x 3 x 3 x 5 x 7

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

GCF = 7

Step 4: Therefore, the greatest common factor of 938 and 945 is 7