Greatest Common Factor of 4962 and 4970

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 4962, 4970 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4962 and 4970 is 2.

GCF(4962,4970) = 2

GCF of 4962 and 4970

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

GCF of:
and

Greatest Common Factor of 4962 and 4970

GCF of 4962 and 4970 is 2

Prime Factorization of 4962


2 4962
3 2481
827 827
1

Prime factors of 4962 are 2,3,827. Prime factorization of 4962 in exponential form is:

4962 = 21×31×8271

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

∴ So by taking common prime factors GCF of 4962 and 4970 is 2

Greatest Common Factor of 4962 and 4970 by matching factors method

Factors of 4962

List of positive integer factors of 4962 that divides 4962 without a remainder.

1,2,3,6,827,1654,2481,4962

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

Greatest Common Factor

We found the factors and prime factorization of 4962 and 4970. The biggest common factor number is the GCF number.
So the greatest common factor 4962 and 4970 is 2.

Also check out the Least Common Multiple of 4962 and 4970

Properties of GCF 4962 and 4970

(i) The GCF of 4962 and 4970 is associative

GCF of 4962 and 4970 = GCF of 4970 and 4962

Related Greatest Common Factor of 4962

Related Greatest Common Factor of 4970

Frequently Asked Questions on GCF of 4962 and 4970

1. What is the GCF of 4962 and 4970?

Answer: GCF of 4962 and 4970 is 2.

2. What are the Factors of 4962?

Answer: Factors of 4962 are 1, 2, 3, 6, 827, 1654, 2481, 4962. There are 8 integers that are factors of 4962. The greatest factor of 4962 is 4962.

3. 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.

4. How to Find the GCF of 4962 and 4970?

Answer:

Greatest Common Factor of 4962 and 4970 = 2

Step 1: Find the prime factorization of 4962

4962 = 2 x 3 x 827

Step 2: Find the prime factorization of 4970

4970 = 2 x 5 x 7 x 71

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 4962 and 4970 is 2