Greatest Common Factor of 1961 and 1969

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, 1969 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1961 and 1969 is 1.

GCF(1961,1969) = 1

GCF of 1961 and 1969

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

GCF of:
and

Greatest Common Factor of 1961 and 1969

GCF of 1961 and 1969 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 1969


11 1969
179 179
1

Prime factors of 1969 are 11,179. Prime factorization of 1969 in exponential form is:

1969 = 111×1791

∴ So by taking common prime factors GCF of 1961 and 1969 is 1

Greatest Common Factor of 1961 and 1969 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 1969

List of positive integer factors of 1969 that divides 1969 without a remainder.

1,11,179,1969

Greatest Common Factor

We found the factors and prime factorization of 1961 and 1969. The biggest common factor number is the GCF number.
So the greatest common factor 1961 and 1969 is 1.

Also check out the Least Common Multiple of 1961 and 1969

Properties of GCF 1961 and 1969

(i) The GCF of 1961 and 1969 is associative

GCF of 1961 and 1969 = GCF of 1969 and 1961

Related Greatest Common Factor of 1961

Related Greatest Common Factor of 1969

Frequently Asked Questions on GCF of 1961 and 1969

1. What is the GCF of 1961 and 1969?

Answer: GCF of 1961 and 1969 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 1969?

Answer: Factors of 1969 are 1, 11, 179, 1969. There are 4 integers that are factors of 1969. The greatest factor of 1969 is 1969.

4. How to Find the GCF of 1961 and 1969?

Answer:

Greatest Common Factor of 1961 and 1969 = 1

Step 1: Find the prime factorization of 1961

1961 = 37 x 53

Step 2: Find the prime factorization of 1969

1969 = 11 x 179

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 1969 is 1