Greatest Common Factor of 1945 and 1949

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

• Greatest Common Factor of 1945 and 1949 by prime factorization method
• Greatest Common Factor of 1945 and 1949 by matching factors method

Prime Factorization of 1945

Prime factors of 1945 are 5,389. Prime factorization of 1945 in exponential form is:

1945 = 5¹×389¹

Prime Factorization of 1949

Prime factors of 1949 are 1949. Prime factorization of 1949 in exponential form is:

1949 = 1949¹

∴ So by taking common prime factors GCF of 1945 and 1949 is 1

Factors of 1945

List of positive integer factors of 1945 that divides 1945 without a remainder.

1,5,389,1945

Factors of 1949

List of positive integer factors of 1949 that divides 1949 without a remainder.

1,1949

Greatest Common Factor

We found the factors and prime factorization of 1945 and 1949. The biggest common factor number is the GCF number.
So the greatest common factor 1945 and 1949 is 1.

Also check out the Least Common Multiple of 1945 and 1949

(i) The GCF of 1945 and 1949 is associative

GCF of 1945 and 1949 = GCF of 1949 and 1945

1. What is the GCF of 1945 and 1949?

Answer: GCF of 1945 and 1949 is 1.

2. What are the Factors of 1945?

Answer: Factors of 1945 are 1, 5, 389, 1945. There are 4 integers that are factors of 1945. The greatest factor of 1945 is 1945.

3. What are the Factors of 1949?

Answer: Factors of 1949 are 1, 1949. There are 2 integers that are factors of 1949. The greatest factor of 1949 is 1949.

4. How to Find the GCF of 1945 and 1949?

Answer:

Greatest Common Factor of 1945 and 1949 = 1

Step 1: Find the prime factorization of 1945

1945 = 5 x 389

Step 2: Find the prime factorization of 1949

1949 = 1949

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 1945 and 1949 is 1