Greatest Common Factor of 1984 and 1987

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 1984, 1987 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1984 and 1987 is 1.

GCF(1984,1987) = 1

GCF of 1984 and 1987

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

GCF of:
and

Greatest Common Factor of 1984 and 1987

GCF of 1984 and 1987 is 1

Prime Factorization of 1984


2 1984
2 992
2 496
2 248
2 124
2 62
31 31
1

Prime factors of 1984 are 2,31. Prime factorization of 1984 in exponential form is:

1984 = 26×311

Prime Factorization of 1987


1987 1987
1

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

1987 = 19871

∴ So by taking common prime factors GCF of 1984 and 1987 is 1

Greatest Common Factor of 1984 and 1987 by matching factors method

Factors of 1984

List of positive integer factors of 1984 that divides 1984 without a remainder.

1,2,4,8,16,31,32,62,64,124,248,496,992,1984

Factors of 1987

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

1,1987

Greatest Common Factor

We found the factors and prime factorization of 1984 and 1987. The biggest common factor number is the GCF number.
So the greatest common factor 1984 and 1987 is 1.

Also check out the Least Common Multiple of 1984 and 1987

Properties of GCF 1984 and 1987

(i) The GCF of 1984 and 1987 is associative

GCF of 1984 and 1987 = GCF of 1987 and 1984

Related Greatest Common Factor of 1984

Related Greatest Common Factor of 1987

Frequently Asked Questions on GCF of 1984 and 1987

1. What is the GCF of 1984 and 1987?

Answer: GCF of 1984 and 1987 is 1.

2. What are the Factors of 1984?

Answer: Factors of 1984 are 1, 2, 4, 8, 16, 31, 32, 62, 64, 124, 248, 496, 992, 1984. There are 14 integers that are factors of 1984. The greatest factor of 1984 is 1984.

3. 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.

4. How to Find the GCF of 1984 and 1987?

Answer:

Greatest Common Factor of 1984 and 1987 = 1

Step 1: Find the prime factorization of 1984

1984 = 2 x 2 x 2 x 2 x 2 x 2 x 31

Step 2: Find the prime factorization of 1987

1987 = 1987

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 1984 and 1987 is 1