Greatest Common Factor of 938 and 946

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

Greatest common factor (GCF) of 938 and 946 is 2.

GCF(938,946) = 2

GCF of 938 and 946

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

GCF of:
and

Greatest Common Factor of 938 and 946

GCF of 938 and 946 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 946


2 946
11 473
43 43
1

Prime factors of 946 are 2,11,43. Prime factorization of 946 in exponential form is:

946 = 21×111×431

∴ So by taking common prime factors GCF of 938 and 946 is 2

Greatest Common Factor of 938 and 946 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 946

List of positive integer factors of 946 that divides 946 without a remainder.

1,2,11,22,43,86,473,946

Greatest Common Factor

We found the factors and prime factorization of 938 and 946. The biggest common factor number is the GCF number.
So the greatest common factor 938 and 946 is 2.

Also check out the Least Common Multiple of 938 and 946

Properties of GCF 938 and 946

(i) The GCF of 938 and 946 is associative

GCF of 938 and 946 = GCF of 946 and 938

Related Greatest Common Factor of 938

Related Greatest Common Factor of 946

Frequently Asked Questions on GCF of 938 and 946

1. What is the GCF of 938 and 946?

Answer: GCF of 938 and 946 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 946?

Answer: Factors of 946 are 1, 2, 11, 22, 43, 86, 473, 946. There are 8 integers that are factors of 946. The greatest factor of 946 is 946.

4. How to Find the GCF of 938 and 946?

Answer:

Greatest Common Factor of 938 and 946 = 2

Step 1: Find the prime factorization of 938

938 = 2 x 7 x 67

Step 2: Find the prime factorization of 946

946 = 2 x 11 x 43

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 946 is 2