Greatest Common Factor of 5977 and 5980

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 5977, 5980 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5977 and 5980 is 1.

GCF(5977,5980) = 1

GCF of 5977 and 5980

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

GCF of:
and

Greatest Common Factor of 5977 and 5980

GCF of 5977 and 5980 is 1

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

Prime Factorization of 5980


2 5980
2 2990
5 1495
13 299
23 23
1

Prime factors of 5980 are 2,5,13,23. Prime factorization of 5980 in exponential form is:

5980 = 22×51×131×231

∴ So by taking common prime factors GCF of 5977 and 5980 is 1

Greatest Common Factor of 5977 and 5980 by matching factors method

Factors of 5977

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

1,43,139,5977

Factors of 5980

List of positive integer factors of 5980 that divides 5980 without a remainder.

1,2,4,5,10,13,20,23,26,46,52,65,92,115,130,230,260,299,460,598,1196,1495,2990,5980

Greatest Common Factor

We found the factors and prime factorization of 5977 and 5980. The biggest common factor number is the GCF number.
So the greatest common factor 5977 and 5980 is 1.

Also check out the Least Common Multiple of 5977 and 5980

Properties of GCF 5977 and 5980

(i) The GCF of 5977 and 5980 is associative

GCF of 5977 and 5980 = GCF of 5980 and 5977

Related Greatest Common Factor of 5977

Related Greatest Common Factor of 5980

Frequently Asked Questions on GCF of 5977 and 5980

1. What is the GCF of 5977 and 5980?

Answer: GCF of 5977 and 5980 is 1.

2. 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.

3. What are the Factors of 5980?

Answer: Factors of 5980 are 1, 2, 4, 5, 10, 13, 20, 23, 26, 46, 52, 65, 92, 115, 130, 230, 260, 299, 460, 598, 1196, 1495, 2990, 5980. There are 24 integers that are factors of 5980. The greatest factor of 5980 is 5980.

4. How to Find the GCF of 5977 and 5980?

Answer:

Greatest Common Factor of 5977 and 5980 = 1

Step 1: Find the prime factorization of 5977

5977 = 43 x 139

Step 2: Find the prime factorization of 5980

5980 = 2 x 2 x 5 x 13 x 23

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 5977 and 5980 is 1