Greatest Common Factor of 4982 and 4987

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 4982, 4987 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4982 and 4987 is 1.

GCF(4982,4987) = 1

GCF of 4982 and 4987

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

GCF of:
and

Greatest Common Factor of 4982 and 4987

GCF of 4982 and 4987 is 1

Prime Factorization of 4982


2 4982
47 2491
53 53
1

Prime factors of 4982 are 2,47,53. Prime factorization of 4982 in exponential form is:

4982 = 21×471×531

Prime Factorization of 4987


4987 4987
1

Prime factors of 4987 are 4987. Prime factorization of 4987 in exponential form is:

4987 = 49871

∴ So by taking common prime factors GCF of 4982 and 4987 is 1

Greatest Common Factor of 4982 and 4987 by matching factors method

Factors of 4982

List of positive integer factors of 4982 that divides 4982 without a remainder.

1,2,47,53,94,106,2491,4982

Factors of 4987

List of positive integer factors of 4987 that divides 4987 without a remainder.

1,4987

Greatest Common Factor

We found the factors and prime factorization of 4982 and 4987. The biggest common factor number is the GCF number.
So the greatest common factor 4982 and 4987 is 1.

Also check out the Least Common Multiple of 4982 and 4987

Properties of GCF 4982 and 4987

(i) The GCF of 4982 and 4987 is associative

GCF of 4982 and 4987 = GCF of 4987 and 4982

Related Greatest Common Factor of 4982

Related Greatest Common Factor of 4987

Frequently Asked Questions on GCF of 4982 and 4987

1. What is the GCF of 4982 and 4987?

Answer: GCF of 4982 and 4987 is 1.

2. What are the Factors of 4982?

Answer: Factors of 4982 are 1, 2, 47, 53, 94, 106, 2491, 4982. There are 8 integers that are factors of 4982. The greatest factor of 4982 is 4982.

3. What are the Factors of 4987?

Answer: Factors of 4987 are 1, 4987. There are 2 integers that are factors of 4987. The greatest factor of 4987 is 4987.

4. How to Find the GCF of 4982 and 4987?

Answer:

Greatest Common Factor of 4982 and 4987 = 1

Step 1: Find the prime factorization of 4982

4982 = 2 x 47 x 53

Step 2: Find the prime factorization of 4987

4987 = 4987

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

GCF = = 1

Step 4: Therefore, the greatest common factor of 4982 and 4987 is 1