Greatest Common Factor of 1973 and 1977

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

• Greatest Common Factor of 1973 and 1977 by prime factorization method
• Greatest Common Factor of 1973 and 1977 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 1977

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

1977 = 3¹×659¹

∴ So by taking common prime factors GCF of 1973 and 1977 is 1

Factors of 1973

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

1,1973

Factors of 1977

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

1,3,659,1977

Greatest Common Factor

We found the factors and prime factorization of 1973 and 1977. The biggest common factor number is the GCF number.
So the greatest common factor 1973 and 1977 is 1.

Also check out the Least Common Multiple of 1973 and 1977

(i) The GCF of 1973 and 1977 is associative

GCF of 1973 and 1977 = GCF of 1977 and 1973

1. What is the GCF of 1973 and 1977?

Answer: GCF of 1973 and 1977 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 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.

4. How to Find the GCF of 1973 and 1977?

Answer:

Greatest Common Factor of 1973 and 1977 = 1

Step 1: Find the prime factorization of 1973

1973 = 1973

Step 2: Find the prime factorization of 1977

1977 = 3 x 659

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 1977 is 1