Greatest Common Factor of 985 and 992

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 985, 992 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 985 and 992 is 1.

GCF(985,992) = 1

GCF of 985 and 992

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

GCF of:
and

Greatest Common Factor of 985 and 992

GCF of 985 and 992 is 1

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

Prime Factorization of 992


2 992
2 496
2 248
2 124
2 62
31 31
1

Prime factors of 992 are 2,31. Prime factorization of 992 in exponential form is:

992 = 25×311

∴ So by taking common prime factors GCF of 985 and 992 is 1

Greatest Common Factor of 985 and 992 by matching factors method

Factors of 985

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

1,5,197,985

Factors of 992

List of positive integer factors of 992 that divides 992 without a remainder.

1,2,4,8,16,31,32,62,124,248,496,992

Greatest Common Factor

We found the factors and prime factorization of 985 and 992. The biggest common factor number is the GCF number.
So the greatest common factor 985 and 992 is 1.

Also check out the Least Common Multiple of 985 and 992

Properties of GCF 985 and 992

(i) The GCF of 985 and 992 is associative

GCF of 985 and 992 = GCF of 992 and 985

Related Greatest Common Factor of 985

Related Greatest Common Factor of 992

Frequently Asked Questions on GCF of 985 and 992

1. What is the GCF of 985 and 992?

Answer: GCF of 985 and 992 is 1.

2. 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.

3. What are the Factors of 992?

Answer: Factors of 992 are 1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992. There are 12 integers that are factors of 992. The greatest factor of 992 is 992.

4. How to Find the GCF of 985 and 992?

Answer:

Greatest Common Factor of 985 and 992 = 1

Step 1: Find the prime factorization of 985

985 = 5 x 197

Step 2: Find the prime factorization of 992

992 = 2 x 2 x 2 x 2 x 2 x 31

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 985 and 992 is 1