Greatest Common Factor of 1959 and 1961

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Make use of GCF Calculator to quickly find the Greatest Common Factor of numbers 1959, 1961 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1959 and 1961 is 1.

GCF(1959,1961) = 1

GCF of 1959 and 1961

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

GCF of:
and

Greatest Common Factor of 1959 and 1961

GCF of 1959 and 1961 is 1

Prime Factorization of 1959


3 1959
653 653
1

Prime factors of 1959 are 3,653. Prime factorization of 1959 in exponential form is:

1959 = 31×6531

Prime Factorization of 1961


37 1961
53 53
1

Prime factors of 1961 are 37,53. Prime factorization of 1961 in exponential form is:

1961 = 371×531

∴ So by taking common prime factors GCF of 1959 and 1961 is 1

Greatest Common Factor of 1959 and 1961 by matching factors method

Factors of 1959

List of positive integer factors of 1959 that divides 1959 without a remainder.

1,3,653,1959

Factors of 1961

List of positive integer factors of 1961 that divides 1961 without a remainder.

1,37,53,1961

Greatest Common Factor

We found the factors and prime factorization of 1959 and 1961. The biggest common factor number is the GCF number.
So the greatest common factor 1959 and 1961 is 1.

Also check out the Least Common Multiple of 1959 and 1961

Properties of GCF 1959 and 1961

(i) The GCF of 1959 and 1961 is associative

GCF of 1959 and 1961 = GCF of 1961 and 1959

Related Greatest Common Factor of 1959

Related Greatest Common Factor of 1961

Frequently Asked Questions on GCF of 1959 and 1961

1. What is the GCF of 1959 and 1961?

Answer: GCF of 1959 and 1961 is 1.

2. What are the Factors of 1959?

Answer: Factors of 1959 are 1, 3, 653, 1959. There are 4 integers that are factors of 1959. The greatest factor of 1959 is 1959.

3. What are the Factors of 1961?

Answer: Factors of 1961 are 1, 37, 53, 1961. There are 4 integers that are factors of 1961. The greatest factor of 1961 is 1961.

4. How to Find the GCF of 1959 and 1961?

Answer:

Greatest Common Factor of 1959 and 1961 = 1

Step 1: Find the prime factorization of 1959

1959 = 3 x 653

Step 2: Find the prime factorization of 1961

1961 = 37 x 53

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 1959 and 1961 is 1