Greatest Common Factor of 5974 and 5977

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 5974, 5977 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5974 and 5977 is 1.

GCF(5974,5977) = 1

GCF of 5974 and 5977

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

GCF of:
and

Greatest Common Factor of 5974 and 5977

GCF of 5974 and 5977 is 1

Prime Factorization of 5974


2 5974
29 2987
103 103
1

Prime factors of 5974 are 2,29,103. Prime factorization of 5974 in exponential form is:

5974 = 21×291×1031

Prime Factorization of 5977


43 5977
139 139
1

Prime factors of 5977 are 43,139. Prime factorization of 5977 in exponential form is:

5977 = 431×1391

∴ So by taking common prime factors GCF of 5974 and 5977 is 1

Greatest Common Factor of 5974 and 5977 by matching factors method

Factors of 5974

List of positive integer factors of 5974 that divides 5974 without a remainder.

1,2,29,58,103,206,2987,5974

Factors of 5977

List of positive integer factors of 5977 that divides 5977 without a remainder.

1,43,139,5977

Greatest Common Factor

We found the factors and prime factorization of 5974 and 5977. The biggest common factor number is the GCF number.
So the greatest common factor 5974 and 5977 is 1.

Also check out the Least Common Multiple of 5974 and 5977

Properties of GCF 5974 and 5977

(i) The GCF of 5974 and 5977 is associative

GCF of 5974 and 5977 = GCF of 5977 and 5974

Related Greatest Common Factor of 5974

Related Greatest Common Factor of 5977

Frequently Asked Questions on GCF of 5974 and 5977

1. What is the GCF of 5974 and 5977?

Answer: GCF of 5974 and 5977 is 1.

2. What are the Factors of 5974?

Answer: Factors of 5974 are 1, 2, 29, 58, 103, 206, 2987, 5974. There are 8 integers that are factors of 5974. The greatest factor of 5974 is 5974.

3. What are the Factors of 5977?

Answer: Factors of 5977 are 1, 43, 139, 5977. There are 4 integers that are factors of 5977. The greatest factor of 5977 is 5977.

4. How to Find the GCF of 5974 and 5977?

Answer:

Greatest Common Factor of 5974 and 5977 = 1

Step 1: Find the prime factorization of 5974

5974 = 2 x 29 x 103

Step 2: Find the prime factorization of 5977

5977 = 43 x 139

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 5974 and 5977 is 1