Greatest Common Factor of 5953 and 5961

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

• Greatest Common Factor of 5953 and 5961 by prime factorization method
• Greatest Common Factor of 5953 and 5961 by matching factors method

Prime Factorization of 5953

Prime factors of 5953 are 5953. Prime factorization of 5953 in exponential form is:

5953 = 5953¹

Prime Factorization of 5961

Prime factors of 5961 are 3.Prime factorization of 5961 in exponential form is:

5961 = 3¹×1987¹

∴ So by taking common prime factors GCF of 5953 and 5961 is 1

Factors of 5953

List of positive integer factors of 5953 that divides 5953 without a remainder.

1,5953

Factors of 5961

List of positive integer factors of 5961 that divides 5961 without a remainder.

1,3,1987,5961

Greatest Common Factor

We found the factors and prime factorization of 5953 and 5961. The biggest common factor number is the GCF number.
So the greatest common factor 5953 and 5961 is 1.

Also check out the Least Common Multiple of 5953 and 5961

(i) The GCF of 5953 and 5961 is associative

GCF of 5953 and 5961 = GCF of 5961 and 5953

1. What is the GCF of 5953 and 5961?

Answer: GCF of 5953 and 5961 is 1.

2. What are the Factors of 5953?

Answer: Factors of 5953 are 1, 5953. There are 2 integers that are factors of 5953. The greatest factor of 5953 is 5953.

3. What are the Factors of 5961?

Answer: Factors of 5961 are 1, 3, 1987, 5961. There are 4 integers that are factors of 5961. The greatest factor of 5961 is 5961.

4. How to Find the GCF of 5953 and 5961?

Answer:

Greatest Common Factor of 5953 and 5961 = 1

Step 1: Find the prime factorization of 5953

5953 = 5953

Step 2: Find the prime factorization of 5961

5961 = 3 x 1987

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 5953 and 5961 is 1