Greatest Common Factor of 1972 and 1977

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 1972, 1977 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1972 and 1977 is 1.

GCF(1972,1977) = 1

GCF of 1972 and 1977

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

GCF of:
and

Greatest Common Factor of 1972 and 1977

GCF of 1972 and 1977 is 1

Prime Factorization of 1972


2 1972
2 986
17 493
29 29
1

Prime factors of 1972 are 2,17,29. Prime factorization of 1972 in exponential form is:

1972 = 22×171×291

Prime Factorization of 1977


3 1977
659 659
1

Prime factors of 1977 are 3,659. Prime factorization of 1977 in exponential form is:

1977 = 31×6591

∴ So by taking common prime factors GCF of 1972 and 1977 is 1

Greatest Common Factor of 1972 and 1977 by matching factors method

Factors of 1972

List of positive integer factors of 1972 that divides 1972 without a remainder.

1,2,4,17,29,34,58,68,116,493,986,1972

Factors of 1977

List of positive integer factors of 1977 that divides 1977 without a remainder.

1,3,659,1977

Greatest Common Factor

We found the factors and prime factorization of 1972 and 1977. The biggest common factor number is the GCF number.
So the greatest common factor 1972 and 1977 is 1.

Also check out the Least Common Multiple of 1972 and 1977

Properties of GCF 1972 and 1977

(i) The GCF of 1972 and 1977 is associative

GCF of 1972 and 1977 = GCF of 1977 and 1972

Related Greatest Common Factor of 1972

Related Greatest Common Factor of 1977

Frequently Asked Questions on GCF of 1972 and 1977

1. What is the GCF of 1972 and 1977?

Answer: GCF of 1972 and 1977 is 1.

2. What are the Factors of 1972?

Answer: Factors of 1972 are 1, 2, 4, 17, 29, 34, 58, 68, 116, 493, 986, 1972. There are 12 integers that are factors of 1972. The greatest factor of 1972 is 1972.

3. What are the Factors of 1977?

Answer: Factors of 1977 are 1, 3, 659, 1977. There are 4 integers that are factors of 1977. The greatest factor of 1977 is 1977.

4. How to Find the GCF of 1972 and 1977?

Answer:

Greatest Common Factor of 1972 and 1977 = 1

Step 1: Find the prime factorization of 1972

1972 = 2 x 2 x 17 x 29

Step 2: Find the prime factorization of 1977

1977 = 3 x 659

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 1972 and 1977 is 1