Greatest Common Factor of 983 and 984

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 983, 984 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 983 and 984 is 1.

GCF(983,984) = 1

GCF of 983 and 984

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

GCF of:
and

Greatest Common Factor of 983 and 984

GCF of 983 and 984 is 1

Prime Factorization of 983


983 983
1

Prime factors of 983 are 983. Prime factorization of 983 in exponential form is:

983 = 9831

Prime Factorization of 984


2 984
2 492
2 246
3 123
41 41
1

Prime factors of 984 are 2.Prime factorization of 984 in exponential form is:

984 = 23×31×411

∴ So by taking common prime factors GCF of 983 and 984 is 1

Greatest Common Factor of 983 and 984 by matching factors method

Factors of 983

List of positive integer factors of 983 that divides 983 without a remainder.

1,983

Factors of 984

List of positive integer factors of 984 that divides 984 without a remainder.

1,2,3,4,6,8,12,24,41,82,123,164,246,328,492,984

Greatest Common Factor

We found the factors and prime factorization of 983 and 984. The biggest common factor number is the GCF number.
So the greatest common factor 983 and 984 is 1.

Also check out the Least Common Multiple of 983 and 984

Properties of GCF 983 and 984

(i) The GCF of 983 and 984 is associative

GCF of 983 and 984 = GCF of 984 and 983

Related Greatest Common Factor of 983

Related Greatest Common Factor of 984

Frequently Asked Questions on GCF of 983 and 984

1. What is the GCF of 983 and 984?

Answer: GCF of 983 and 984 is 1.

2. What are the Factors of 983?

Answer: Factors of 983 are 1, 983. There are 2 integers that are factors of 983. The greatest factor of 983 is 983.

3. What are the Factors of 984?

Answer: Factors of 984 are 1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984. There are 16 integers that are factors of 984. The greatest factor of 984 is 984.

4. How to Find the GCF of 983 and 984?

Answer:

Greatest Common Factor of 983 and 984 = 1

Step 1: Find the prime factorization of 983

983 = 983

Step 2: Find the prime factorization of 984

984 = 2 x 2 x 2 x 3 x 41

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 983 and 984 is 1