Greatest Common Factor of 1962 and 1967

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 1962, 1967 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1962 and 1967 is 1.

GCF(1962,1967) = 1

GCF of 1962 and 1967

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

GCF of:
and

Greatest Common Factor of 1962 and 1967

GCF of 1962 and 1967 is 1

Prime Factorization of 1962


2 1962
3 981
3 327
109 109
1

Prime factors of 1962 are 2,3,109. Prime factorization of 1962 in exponential form is:

1962 = 21×32×1091

Prime Factorization of 1967


7 1967
281 281
1

Prime factors of 1967 are 7,281. Prime factorization of 1967 in exponential form is:

1967 = 71×2811

∴ So by taking common prime factors GCF of 1962 and 1967 is 1

Greatest Common Factor of 1962 and 1967 by matching factors method

Factors of 1962

List of positive integer factors of 1962 that divides 1962 without a remainder.

1,2,3,6,9,18,109,218,327,654,981,1962

Factors of 1967

List of positive integer factors of 1967 that divides 1967 without a remainder.

1,7,281,1967

Greatest Common Factor

We found the factors and prime factorization of 1962 and 1967. The biggest common factor number is the GCF number.
So the greatest common factor 1962 and 1967 is 1.

Also check out the Least Common Multiple of 1962 and 1967

Properties of GCF 1962 and 1967

(i) The GCF of 1962 and 1967 is associative

GCF of 1962 and 1967 = GCF of 1967 and 1962

Related Greatest Common Factor of 1962

Related Greatest Common Factor of 1967

Frequently Asked Questions on GCF of 1962 and 1967

1. What is the GCF of 1962 and 1967?

Answer: GCF of 1962 and 1967 is 1.

2. What are the Factors of 1962?

Answer: Factors of 1962 are 1, 2, 3, 6, 9, 18, 109, 218, 327, 654, 981, 1962. There are 12 integers that are factors of 1962. The greatest factor of 1962 is 1962.

3. What are the Factors of 1967?

Answer: Factors of 1967 are 1, 7, 281, 1967. There are 4 integers that are factors of 1967. The greatest factor of 1967 is 1967.

4. How to Find the GCF of 1962 and 1967?

Answer:

Greatest Common Factor of 1962 and 1967 = 1

Step 1: Find the prime factorization of 1962

1962 = 2 x 3 x 3 x 109

Step 2: Find the prime factorization of 1967

1967 = 7 x 281

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 1962 and 1967 is 1