Greatest Common Factor of 1977 and 1981

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

• Greatest Common Factor of 1977 and 1981 by prime factorization method
• Greatest Common Factor of 1977 and 1981 by matching factors method

Prime Factorization of 1977

Prime factors of 1977 are 3,659. Prime factorization of 1977 in exponential form is:

1977 = 3¹×659¹

Prime Factorization of 1981

Prime factors of 1981 are 7,283. Prime factorization of 1981 in exponential form is:

1981 = 7¹×283¹

∴ So by taking common prime factors GCF of 1977 and 1981 is 1

Factors of 1977

List of positive integer factors of 1977 that divides 1977 without a remainder.

1,3,659,1977

Factors of 1981

List of positive integer factors of 1981 that divides 1981 without a remainder.

1,7,283,1981

Greatest Common Factor

We found the factors and prime factorization of 1977 and 1981. The biggest common factor number is the GCF number.
So the greatest common factor 1977 and 1981 is 1.

Also check out the Least Common Multiple of 1977 and 1981

(i) The GCF of 1977 and 1981 is associative

GCF of 1977 and 1981 = GCF of 1981 and 1977

1. What is the GCF of 1977 and 1981?

Answer: GCF of 1977 and 1981 is 1.

2. What are the Factors of 1977?

Answer: Factors of 1977 are 1, 3, 659, 1977. There are 4 integers that are factors of 1977. The greatest factor of 1977 is 1977.

3. What are the Factors of 1981?

Answer: Factors of 1981 are 1, 7, 283, 1981. There are 4 integers that are factors of 1981. The greatest factor of 1981 is 1981.

4. How to Find the GCF of 1977 and 1981?

Answer:

Greatest Common Factor of 1977 and 1981 = 1

Step 1: Find the prime factorization of 1977

1977 = 3 x 659

Step 2: Find the prime factorization of 1981

1981 = 7 x 283

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 1977 and 1981 is 1