Greatest Common Factor of 1973 and 1981

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

• Greatest Common Factor of 1973 and 1981 by prime factorization method
• Greatest Common Factor of 1973 and 1981 by matching factors method

Prime Factorization of 1973

Prime factors of 1973 are 1973. Prime factorization of 1973 in exponential form is:

1973 = 1973¹

Prime Factorization of 1981

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

1981 = 7¹×283¹

∴ So by taking common prime factors GCF of 1973 and 1981 is 1

Factors of 1973

List of positive integer factors of 1973 that divides 1973 without a remainder.

1,1973

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 1973 and 1981. The biggest common factor number is the GCF number.
So the greatest common factor 1973 and 1981 is 1.

Also check out the Least Common Multiple of 1973 and 1981

(i) The GCF of 1973 and 1981 is associative

GCF of 1973 and 1981 = GCF of 1981 and 1973

1. What is the GCF of 1973 and 1981?

Answer: GCF of 1973 and 1981 is 1.

2. What are the Factors of 1973?

Answer: Factors of 1973 are 1, 1973. There are 2 integers that are factors of 1973. The greatest factor of 1973 is 1973.

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 1973 and 1981?

Answer:

Greatest Common Factor of 1973 and 1981 = 1

Step 1: Find the prime factorization of 1973

1973 = 1973

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 1973 and 1981 is 1