Greatest Common Factor of 3948 and 3952

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 3948, 3952 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3948 and 3952 is 4.

GCF(3948,3952) = 4

GCF of 3948 and 3952

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

GCF of:
and

Greatest Common Factor of 3948 and 3952

GCF of 3948 and 3952 is 4

Prime Factorization of 3948


2 3948
2 1974
3 987
7 329
47 47
1

Prime factors of 3948 are 2,3,7,47. Prime factorization of 3948 in exponential form is:

3948 = 22×31×71×471

Prime Factorization of 3952


2 3952
2 1976
2 988
2 494
13 247
19 19
1

Prime factors of 3952 are 2,13,19. Prime factorization of 3952 in exponential form is:

3952 = 24×131×191

∴ So by taking common prime factors GCF of 3948 and 3952 is 4

Greatest Common Factor of 3948 and 3952 by matching factors method

Factors of 3948

List of positive integer factors of 3948 that divides 3948 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,47,84,94,141,188,282,329,564,658,987,1316,1974,3948

Factors of 3952

List of positive integer factors of 3952 that divides 3952 without a remainder.

1,2,4,8,13,16,19,26,38,52,76,104,152,208,247,304,494,988,1976,3952

Greatest Common Factor

We found the factors and prime factorization of 3948 and 3952. The biggest common factor number is the GCF number.
So the greatest common factor 3948 and 3952 is 4.

Also check out the Least Common Multiple of 3948 and 3952

Properties of GCF 3948 and 3952

(i) The GCF of 3948 and 3952 is associative

GCF of 3948 and 3952 = GCF of 3952 and 3948

Related Greatest Common Factor of 3948

Related Greatest Common Factor of 3952

Frequently Asked Questions on GCF of 3948 and 3952

1. What is the GCF of 3948 and 3952?

Answer: GCF of 3948 and 3952 is 4.

2. What are the Factors of 3948?

Answer: Factors of 3948 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 47, 84, 94, 141, 188, 282, 329, 564, 658, 987, 1316, 1974, 3948. There are 24 integers that are factors of 3948. The greatest factor of 3948 is 3948.

3. What are the Factors of 3952?

Answer: Factors of 3952 are 1, 2, 4, 8, 13, 16, 19, 26, 38, 52, 76, 104, 152, 208, 247, 304, 494, 988, 1976, 3952. There are 20 integers that are factors of 3952. The greatest factor of 3952 is 3952.

4. How to Find the GCF of 3948 and 3952?

Answer:

Greatest Common Factor of 3948 and 3952 = 4

Step 1: Find the prime factorization of 3948

3948 = 2 x 2 x 3 x 7 x 47

Step 2: Find the prime factorization of 3952

3952 = 2 x 2 x 2 x 2 x 13 x 19

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 3948 and 3952 is 4