Greatest Common Factor of 4974 and 4978

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 4974, 4978 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4974 and 4978 is 2.

GCF(4974,4978) = 2

GCF of 4974 and 4978

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

GCF of:
and

Greatest Common Factor of 4974 and 4978

GCF of 4974 and 4978 is 2

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

Prime Factorization of 4978


2 4978
19 2489
131 131
1

Prime factors of 4978 are 2,19,131. Prime factorization of 4978 in exponential form is:

4978 = 21×191×1311

∴ So by taking common prime factors GCF of 4974 and 4978 is 2

Greatest Common Factor of 4974 and 4978 by matching factors method

Factors of 4974

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

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

Factors of 4978

List of positive integer factors of 4978 that divides 4978 without a remainder.

1,2,19,38,131,262,2489,4978

Greatest Common Factor

We found the factors and prime factorization of 4974 and 4978. The biggest common factor number is the GCF number.
So the greatest common factor 4974 and 4978 is 2.

Also check out the Least Common Multiple of 4974 and 4978

Properties of GCF 4974 and 4978

(i) The GCF of 4974 and 4978 is associative

GCF of 4974 and 4978 = GCF of 4978 and 4974

Related Greatest Common Factor of 4974

Related Greatest Common Factor of 4978

Frequently Asked Questions on GCF of 4974 and 4978

1. What is the GCF of 4974 and 4978?

Answer: GCF of 4974 and 4978 is 2.

2. 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.

3. What are the Factors of 4978?

Answer: Factors of 4978 are 1, 2, 19, 38, 131, 262, 2489, 4978. There are 8 integers that are factors of 4978. The greatest factor of 4978 is 4978.

4. How to Find the GCF of 4974 and 4978?

Answer:

Greatest Common Factor of 4974 and 4978 = 2

Step 1: Find the prime factorization of 4974

4974 = 2 x 3 x 829

Step 2: Find the prime factorization of 4978

4978 = 2 x 19 x 131

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 4974 and 4978 is 2