Greatest Common Factor of 1949 and 1957

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

• Greatest Common Factor of 1949 and 1957 by prime factorization method
• Greatest Common Factor of 1949 and 1957 by matching factors method

Prime Factorization of 1949

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

1949 = 1949¹

Prime Factorization of 1957

Prime factors of 1957 are 19.Prime factorization of 1957 in exponential form is:

1957 = 19¹×103¹

∴ So by taking common prime factors GCF of 1949 and 1957 is 1

Factors of 1949

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

1,1949

Factors of 1957

List of positive integer factors of 1957 that divides 1957 without a remainder.

1,19,103,1957

Greatest Common Factor

We found the factors and prime factorization of 1949 and 1957. The biggest common factor number is the GCF number.
So the greatest common factor 1949 and 1957 is 1.

Also check out the Least Common Multiple of 1949 and 1957

(i) The GCF of 1949 and 1957 is associative

GCF of 1949 and 1957 = GCF of 1957 and 1949

1. What is the GCF of 1949 and 1957?

Answer: GCF of 1949 and 1957 is 1.

2. 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.

3. What are the Factors of 1957?

Answer: Factors of 1957 are 1, 19, 103, 1957. There are 4 integers that are factors of 1957. The greatest factor of 1957 is 1957.

4. How to Find the GCF of 1949 and 1957?

Answer:

Greatest Common Factor of 1949 and 1957 = 1

Step 1: Find the prime factorization of 1949

1949 = 1949

Step 2: Find the prime factorization of 1957

1957 = 19 x 103

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 1949 and 1957 is 1