Greatest Common Factor of 1987 and 1994

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 1987, 1994 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1987 and 1994 is 1.

GCF(1987,1994) = 1

GCF of 1987 and 1994

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

GCF of:
and

Greatest Common Factor of 1987 and 1994

GCF of 1987 and 1994 is 1

Prime Factorization of 1987


1987 1987
1

Prime factors of 1987 are 1987. Prime factorization of 1987 in exponential form is:

1987 = 19871

Prime Factorization of 1994


2 1994
997 997
1

Prime factors of 1994 are 2.Prime factorization of 1994 in exponential form is:

1994 = 21×9971

∴ So by taking common prime factors GCF of 1987 and 1994 is 1

Greatest Common Factor of 1987 and 1994 by matching factors method

Factors of 1987

List of positive integer factors of 1987 that divides 1987 without a remainder.

1,1987

Factors of 1994

List of positive integer factors of 1994 that divides 1994 without a remainder.

1,2,997,1994

Greatest Common Factor

We found the factors and prime factorization of 1987 and 1994. The biggest common factor number is the GCF number.
So the greatest common factor 1987 and 1994 is 1.

Also check out the Least Common Multiple of 1987 and 1994

Properties of GCF 1987 and 1994

(i) The GCF of 1987 and 1994 is associative

GCF of 1987 and 1994 = GCF of 1994 and 1987

Related Greatest Common Factor of 1987

Related Greatest Common Factor of 1994

Frequently Asked Questions on GCF of 1987 and 1994

1. What is the GCF of 1987 and 1994?

Answer: GCF of 1987 and 1994 is 1.

2. What are the Factors of 1987?

Answer: Factors of 1987 are 1, 1987. There are 2 integers that are factors of 1987. The greatest factor of 1987 is 1987.

3. What are the Factors of 1994?

Answer: Factors of 1994 are 1, 2, 997, 1994. There are 4 integers that are factors of 1994. The greatest factor of 1994 is 1994.

4. How to Find the GCF of 1987 and 1994?

Answer:

Greatest Common Factor of 1987 and 1994 = 1

Step 1: Find the prime factorization of 1987

1987 = 1987

Step 2: Find the prime factorization of 1994

1994 = 2 x 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 1987 and 1994 is 1