Greatest Common Factor of 4970 and 4977

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, 4977 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4970 and 4977 is 7.

GCF(4970,4977) = 7

GCF of 4970 and 4977

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

GCF of:
and

Greatest Common Factor of 4970 and 4977

GCF of 4970 and 4977 is 7

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 4977


3 4977
3 1659
7 553
79 79
1

Prime factors of 4977 are 3,7,79. Prime factorization of 4977 in exponential form is:

4977 = 32×71×791

∴ So by taking common prime factors GCF of 4970 and 4977 is 7

Greatest Common Factor of 4970 and 4977 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 4977

List of positive integer factors of 4977 that divides 4977 without a remainder.

1,3,7,9,21,63,79,237,553,711,1659,4977

Greatest Common Factor

We found the factors and prime factorization of 4970 and 4977. The biggest common factor number is the GCF number.
So the greatest common factor 4970 and 4977 is 7.

Also check out the Least Common Multiple of 4970 and 4977

Properties of GCF 4970 and 4977

(i) The GCF of 4970 and 4977 is associative

GCF of 4970 and 4977 = GCF of 4977 and 4970

Related Greatest Common Factor of 4970

Related Greatest Common Factor of 4977

Frequently Asked Questions on GCF of 4970 and 4977

1. What is the GCF of 4970 and 4977?

Answer: GCF of 4970 and 4977 is 7.

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 4977?

Answer: Factors of 4977 are 1, 3, 7, 9, 21, 63, 79, 237, 553, 711, 1659, 4977. There are 12 integers that are factors of 4977. The greatest factor of 4977 is 4977.

4. How to Find the GCF of 4970 and 4977?

Answer:

Greatest Common Factor of 4970 and 4977 = 7

Step 1: Find the prime factorization of 4970

4970 = 2 x 5 x 7 x 71

Step 2: Find the prime factorization of 4977

4977 = 3 x 3 x 7 x 79

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

GCF = 7

Step 4: Therefore, the greatest common factor of 4970 and 4977 is 7