Greatest Common Factor of 992 and 997

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 992, 997 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 992 and 997 is 1.

GCF(992,997) = 1

GCF of 992 and 997

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

GCF of:
and

Greatest Common Factor of 992 and 997

GCF of 992 and 997 is 1

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

Prime Factorization of 997


997 997
1

Prime factors of 997 are 997. Prime factorization of 997 in exponential form is:

997 = 9971

∴ So by taking common prime factors GCF of 992 and 997 is 1

Greatest Common Factor of 992 and 997 by matching factors method

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

Factors of 997

List of positive integer factors of 997 that divides 997 without a remainder.

1,997

Greatest Common Factor

We found the factors and prime factorization of 992 and 997. The biggest common factor number is the GCF number.
So the greatest common factor 992 and 997 is 1.

Also check out the Least Common Multiple of 992 and 997

Properties of GCF 992 and 997

(i) The GCF of 992 and 997 is associative

GCF of 992 and 997 = GCF of 997 and 992

Related Greatest Common Factor of 992

Related Greatest Common Factor of 997

Frequently Asked Questions on GCF of 992 and 997

1. What is the GCF of 992 and 997?

Answer: GCF of 992 and 997 is 1.

2. 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.

3. What are the Factors of 997?

Answer: Factors of 997 are 1, 997. There are 2 integers that are factors of 997. The greatest factor of 997 is 997.

4. How to Find the GCF of 992 and 997?

Answer:

Greatest Common Factor of 992 and 997 = 1

Step 1: Find the prime factorization of 992

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

Step 2: Find the prime factorization of 997

997 = 997

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 992 and 997 is 1