Greatest Common Factor of 938 and 941

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

Greatest common factor (GCF) of 938 and 941 is 1.

GCF(938,941) = 1

GCF of 938 and 941

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

GCF of:
and

Greatest Common Factor of 938 and 941

GCF of 938 and 941 is 1

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 941


941 941
1

Prime factors of 941 are 941. Prime factorization of 941 in exponential form is:

941 = 9411

∴ So by taking common prime factors GCF of 938 and 941 is 1

Greatest Common Factor of 938 and 941 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 941

List of positive integer factors of 941 that divides 941 without a remainder.

1,941

Greatest Common Factor

We found the factors and prime factorization of 938 and 941. The biggest common factor number is the GCF number.
So the greatest common factor 938 and 941 is 1.

Also check out the Least Common Multiple of 938 and 941

Properties of GCF 938 and 941

(i) The GCF of 938 and 941 is associative

GCF of 938 and 941 = GCF of 941 and 938

Related Greatest Common Factor of 938

Related Greatest Common Factor of 941

Frequently Asked Questions on GCF of 938 and 941

1. What is the GCF of 938 and 941?

Answer: GCF of 938 and 941 is 1.

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 941?

Answer: Factors of 941 are 1, 941. There are 2 integers that are factors of 941. The greatest factor of 941 is 941.

4. How to Find the GCF of 938 and 941?

Answer:

Greatest Common Factor of 938 and 941 = 1

Step 1: Find the prime factorization of 938

938 = 2 x 7 x 67

Step 2: Find the prime factorization of 941

941 = 941

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 938 and 941 is 1