Greatest Common Factor of 7940 and 7948

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 7940, 7948 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7940 and 7948 is 4.

GCF(7940,7948) = 4

GCF of 7940 and 7948

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

GCF of:
and

Greatest Common Factor of 7940 and 7948

GCF of 7940 and 7948 is 4

Prime Factorization of 7940


2 7940
2 3970
5 1985
397 397
1

Prime factors of 7940 are 2,5,397. Prime factorization of 7940 in exponential form is:

7940 = 22×51×3971

Prime Factorization of 7948


2 7948
2 3974
1987 1987
1

Prime factors of 7948 are 2,1987. Prime factorization of 7948 in exponential form is:

7948 = 22×19871

∴ So by taking common prime factors GCF of 7940 and 7948 is 4

Greatest Common Factor of 7940 and 7948 by matching factors method

Factors of 7940

List of positive integer factors of 7940 that divides 7940 without a remainder.

1,2,4,5,10,20,397,794,1588,1985,3970,7940

Factors of 7948

List of positive integer factors of 7948 that divides 7948 without a remainder.

1,2,4,1987,3974,7948

Greatest Common Factor

We found the factors and prime factorization of 7940 and 7948. The biggest common factor number is the GCF number.
So the greatest common factor 7940 and 7948 is 4.

Also check out the Least Common Multiple of 7940 and 7948

Properties of GCF 7940 and 7948

(i) The GCF of 7940 and 7948 is associative

GCF of 7940 and 7948 = GCF of 7948 and 7940

Related Greatest Common Factor of 7940

Related Greatest Common Factor of 7948

Frequently Asked Questions on GCF of 7940 and 7948

1. What is the GCF of 7940 and 7948?

Answer: GCF of 7940 and 7948 is 4.

2. What are the Factors of 7940?

Answer: Factors of 7940 are 1, 2, 4, 5, 10, 20, 397, 794, 1588, 1985, 3970, 7940. There are 12 integers that are factors of 7940. The greatest factor of 7940 is 7940.

3. What are the Factors of 7948?

Answer: Factors of 7948 are 1, 2, 4, 1987, 3974, 7948. There are 6 integers that are factors of 7948. The greatest factor of 7948 is 7948.

4. How to Find the GCF of 7940 and 7948?

Answer:

Greatest Common Factor of 7940 and 7948 = 4

Step 1: Find the prime factorization of 7940

7940 = 2 x 2 x 5 x 397

Step 2: Find the prime factorization of 7948

7948 = 2 x 2 x 1987

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

GCF = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 7940 and 7948 is 4