Greatest Common Factor of 9974 and 9977

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 9974, 9977 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9974 and 9977 is 1.

GCF(9974,9977) = 1

GCF of 9974 and 9977

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

GCF of:
and

Greatest Common Factor of 9974 and 9977

GCF of 9974 and 9977 is 1

Prime Factorization of 9974


2 9974
4987 4987
1

Prime factors of 9974 are 2,4987. Prime factorization of 9974 in exponential form is:

9974 = 21×49871

Prime Factorization of 9977


11 9977
907 907
1

Prime factors of 9977 are 11,907. Prime factorization of 9977 in exponential form is:

9977 = 111×9071

∴ So by taking common prime factors GCF of 9974 and 9977 is 1

Greatest Common Factor of 9974 and 9977 by matching factors method

Factors of 9974

List of positive integer factors of 9974 that divides 9974 without a remainder.

1,2,4987,9974

Factors of 9977

List of positive integer factors of 9977 that divides 9977 without a remainder.

1,11,907,9977

Greatest Common Factor

We found the factors and prime factorization of 9974 and 9977. The biggest common factor number is the GCF number.
So the greatest common factor 9974 and 9977 is 1.

Also check out the Least Common Multiple of 9974 and 9977

Properties of GCF 9974 and 9977

(i) The GCF of 9974 and 9977 is associative

GCF of 9974 and 9977 = GCF of 9977 and 9974

Related Greatest Common Factor of 9974

Related Greatest Common Factor of 9977

Frequently Asked Questions on GCF of 9974 and 9977

1. What is the GCF of 9974 and 9977?

Answer: GCF of 9974 and 9977 is 1.

2. What are the Factors of 9974?

Answer: Factors of 9974 are 1, 2, 4987, 9974. There are 4 integers that are factors of 9974. The greatest factor of 9974 is 9974.

3. What are the Factors of 9977?

Answer: Factors of 9977 are 1, 11, 907, 9977. There are 4 integers that are factors of 9977. The greatest factor of 9977 is 9977.

4. How to Find the GCF of 9974 and 9977?

Answer:

Greatest Common Factor of 9974 and 9977 = 1

Step 1: Find the prime factorization of 9974

9974 = 2 x 4987

Step 2: Find the prime factorization of 9977

9977 = 11 x 907

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 9974 and 9977 is 1