Greatest Common Factor of 984 and 985

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 984, 985 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 984 and 985 is 1.

GCF(984,985) = 1

GCF of 984 and 985

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

GCF of:
and

Greatest Common Factor of 984 and 985

GCF of 984 and 985 is 1

Prime Factorization of 984


2 984
2 492
2 246
3 123
41 41
1

Prime factors of 984 are 2,3,41. Prime factorization of 984 in exponential form is:

984 = 23×31×411

Prime Factorization of 985


5 985
197 197
1

Prime factors of 985 are 5,197. Prime factorization of 985 in exponential form is:

985 = 51×1971

∴ So by taking common prime factors GCF of 984 and 985 is 1

Greatest Common Factor of 984 and 985 by matching factors method

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

Factors of 985

List of positive integer factors of 985 that divides 985 without a remainder.

1,5,197,985

Greatest Common Factor

We found the factors and prime factorization of 984 and 985. The biggest common factor number is the GCF number.
So the greatest common factor 984 and 985 is 1.

Also check out the Least Common Multiple of 984 and 985

Properties of GCF 984 and 985

(i) The GCF of 984 and 985 is associative

GCF of 984 and 985 = GCF of 985 and 984

Related Greatest Common Factor of 984

Related Greatest Common Factor of 985

Frequently Asked Questions on GCF of 984 and 985

1. What is the GCF of 984 and 985?

Answer: GCF of 984 and 985 is 1.

2. 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.

3. What are the Factors of 985?

Answer: Factors of 985 are 1, 5, 197, 985. There are 4 integers that are factors of 985. The greatest factor of 985 is 985.

4. How to Find the GCF of 984 and 985?

Answer:

Greatest Common Factor of 984 and 985 = 1

Step 1: Find the prime factorization of 984

984 = 2 x 2 x 2 x 3 x 41

Step 2: Find the prime factorization of 985

985 = 5 x 197

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 984 and 985 is 1