Greatest Common Factor of 1982 and 1987

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

• Greatest Common Factor of 1982 and 1987 by prime factorization method
• Greatest Common Factor of 1982 and 1987 by matching factors method

Prime Factorization of 1982

Prime factors of 1982 are 2,991. Prime factorization of 1982 in exponential form is:

1982 = 2¹×991¹

Prime Factorization of 1987

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

1987 = 1987¹

∴ So by taking common prime factors GCF of 1982 and 1987 is 1

Factors of 1982

List of positive integer factors of 1982 that divides 1982 without a remainder.

1,2,991,1982

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 1982 and 1987. The biggest common factor number is the GCF number.
So the greatest common factor 1982 and 1987 is 1.

Also check out the Least Common Multiple of 1982 and 1987

(i) The GCF of 1982 and 1987 is associative

GCF of 1982 and 1987 = GCF of 1987 and 1982

1. What is the GCF of 1982 and 1987?

Answer: GCF of 1982 and 1987 is 1.

2. What are the Factors of 1982?

Answer: Factors of 1982 are 1, 2, 991, 1982. There are 4 integers that are factors of 1982. The greatest factor of 1982 is 1982.

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 1982 and 1987?

Answer:

Greatest Common Factor of 1982 and 1987 = 1

Step 1: Find the prime factorization of 1982

1982 = 2 x 991

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 1982 and 1987 is 1