Greatest Common Factor of 1973 and 1979

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

• Greatest Common Factor of 1973 and 1979 by prime factorization method
• Greatest Common Factor of 1973 and 1979 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 1979

Prime factors of 1979 are 1979.Prime factorization of 1979 in exponential form is:

1979 = 1979¹

∴ So by taking common prime factors GCF of 1973 and 1979 is 1

Factors of 1973

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

1,1973

Factors of 1979

List of positive integer factors of 1979 that divides 1979 without a remainder.

1,1979

Greatest Common Factor

We found the factors and prime factorization of 1973 and 1979. The biggest common factor number is the GCF number.
So the greatest common factor 1973 and 1979 is 1.

Also check out the Least Common Multiple of 1973 and 1979

(i) The GCF of 1973 and 1979 is associative

GCF of 1973 and 1979 = GCF of 1979 and 1973

1. What is the GCF of 1973 and 1979?

Answer: GCF of 1973 and 1979 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 1979?

Answer: Factors of 1979 are 1, 1979. There are 2 integers that are factors of 1979. The greatest factor of 1979 is 1979.

4. How to Find the GCF of 1973 and 1979?

Answer:

Greatest Common Factor of 1973 and 1979 = 1

Step 1: Find the prime factorization of 1973

1973 = 1973

Step 2: Find the prime factorization of 1979

1979 = 1979

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 1979 is 1