Greatest Common Factor of 4968 and 4974

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 4968, 4974 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4968 and 4974 is 6.

GCF(4968,4974) = 6

GCF of 4968 and 4974

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

GCF of:
and

Greatest Common Factor of 4968 and 4974

GCF of 4968 and 4974 is 6

Prime Factorization of 4968


2 4968
2 2484
2 1242
3 621
3 207
3 69
23 23
1

Prime factors of 4968 are 2,3,23. Prime factorization of 4968 in exponential form is:

4968 = 23×33×231

Prime Factorization of 4974


2 4974
3 2487
829 829
1

Prime factors of 4974 are 2,3,829. Prime factorization of 4974 in exponential form is:

4974 = 21×31×8291

∴ So by taking common prime factors GCF of 4968 and 4974 is 6

Greatest Common Factor of 4968 and 4974 by matching factors method

Factors of 4968

List of positive integer factors of 4968 that divides 4968 without a remainder.

1,2,3,4,6,8,9,12,18,23,24,27,36,46,54,69,72,92,108,138,184,207,216,276,414,552,621,828,1242,1656,2484,4968

Factors of 4974

List of positive integer factors of 4974 that divides 4974 without a remainder.

1,2,3,6,829,1658,2487,4974

Greatest Common Factor

We found the factors and prime factorization of 4968 and 4974. The biggest common factor number is the GCF number.
So the greatest common factor 4968 and 4974 is 6.

Also check out the Least Common Multiple of 4968 and 4974

Properties of GCF 4968 and 4974

(i) The GCF of 4968 and 4974 is associative

GCF of 4968 and 4974 = GCF of 4974 and 4968

Related Greatest Common Factor of 4968

Related Greatest Common Factor of 4974

Frequently Asked Questions on GCF of 4968 and 4974

1. What is the GCF of 4968 and 4974?

Answer: GCF of 4968 and 4974 is 6.

2. What are the Factors of 4968?

Answer: Factors of 4968 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 23, 24, 27, 36, 46, 54, 69, 72, 92, 108, 138, 184, 207, 216, 276, 414, 552, 621, 828, 1242, 1656, 2484, 4968. There are 32 integers that are factors of 4968. The greatest factor of 4968 is 4968.

3. What are the Factors of 4974?

Answer: Factors of 4974 are 1, 2, 3, 6, 829, 1658, 2487, 4974. There are 8 integers that are factors of 4974. The greatest factor of 4974 is 4974.

4. How to Find the GCF of 4968 and 4974?

Answer:

Greatest Common Factor of 4968 and 4974 = 6

Step 1: Find the prime factorization of 4968

4968 = 2 x 2 x 2 x 3 x 3 x 3 x 23

Step 2: Find the prime factorization of 4974

4974 = 2 x 3 x 829

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

GCF = 2 x 3 = 6

Step 4: Therefore, the greatest common factor of 4968 and 4974 is 6