Greatest Common Factor of 4970 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 4970, 4974 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4970 and 4974 is 2.

GCF(4970,4974) = 2

GCF of 4970 and 4974

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

GCF of:
and

Greatest Common Factor of 4970 and 4974

GCF of 4970 and 4974 is 2

Prime Factorization of 4970


2 4970
5 2485
7 497
71 71
1

Prime factors of 4970 are 2,5,7,71. Prime factorization of 4970 in exponential form is:

4970 = 21×51×71×711

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 4970 and 4974 is 2

Greatest Common Factor of 4970 and 4974 by matching factors method

Factors of 4970

List of positive integer factors of 4970 that divides 4970 without a remainder.

1,2,5,7,10,14,35,70,71,142,355,497,710,994,2485,4970

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 4970 and 4974. The biggest common factor number is the GCF number.
So the greatest common factor 4970 and 4974 is 2.

Also check out the Least Common Multiple of 4970 and 4974

Properties of GCF 4970 and 4974

(i) The GCF of 4970 and 4974 is associative

GCF of 4970 and 4974 = GCF of 4974 and 4970

Related Greatest Common Factor of 4970

Related Greatest Common Factor of 4974

Frequently Asked Questions on GCF of 4970 and 4974

1. What is the GCF of 4970 and 4974?

Answer: GCF of 4970 and 4974 is 2.

2. What are the Factors of 4970?

Answer: Factors of 4970 are 1, 2, 5, 7, 10, 14, 35, 70, 71, 142, 355, 497, 710, 994, 2485, 4970. There are 16 integers that are factors of 4970. The greatest factor of 4970 is 4970.

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 4970 and 4974?

Answer:

Greatest Common Factor of 4970 and 4974 = 2

Step 1: Find the prime factorization of 4970

4970 = 2 x 5 x 7 x 71

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

Step 4: Therefore, the greatest common factor of 4970 and 4974 is 2