Greatest Common Factor of 1961 and 1965

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 1961, 1965 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1961 and 1965 is 1.

GCF(1961,1965) = 1

GCF of 1961 and 1965

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

GCF of:
and

Greatest Common Factor of 1961 and 1965

GCF of 1961 and 1965 is 1

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

Prime Factorization of 1965


3 1965
5 655
131 131
1

Prime factors of 1965 are 3,5,131. Prime factorization of 1965 in exponential form is:

1965 = 31×51×1311

∴ So by taking common prime factors GCF of 1961 and 1965 is 1

Greatest Common Factor of 1961 and 1965 by matching factors method

Factors of 1961

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

1,37,53,1961

Factors of 1965

List of positive integer factors of 1965 that divides 1965 without a remainder.

1,3,5,15,131,393,655,1965

Greatest Common Factor

We found the factors and prime factorization of 1961 and 1965. The biggest common factor number is the GCF number.
So the greatest common factor 1961 and 1965 is 1.

Also check out the Least Common Multiple of 1961 and 1965

Properties of GCF 1961 and 1965

(i) The GCF of 1961 and 1965 is associative

GCF of 1961 and 1965 = GCF of 1965 and 1961

Related Greatest Common Factor of 1961

Related Greatest Common Factor of 1965

Frequently Asked Questions on GCF of 1961 and 1965

1. What is the GCF of 1961 and 1965?

Answer: GCF of 1961 and 1965 is 1.

2. 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.

3. What are the Factors of 1965?

Answer: Factors of 1965 are 1, 3, 5, 15, 131, 393, 655, 1965. There are 8 integers that are factors of 1965. The greatest factor of 1965 is 1965.

4. How to Find the GCF of 1961 and 1965?

Answer:

Greatest Common Factor of 1961 and 1965 = 1

Step 1: Find the prime factorization of 1961

1961 = 37 x 53

Step 2: Find the prime factorization of 1965

1965 = 3 x 5 x 131

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 1961 and 1965 is 1