Greatest Common Factor of 7381 and 7387

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 7381, 7387 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7381 and 7387 is 1.

GCF(7381,7387) = 1

GCF of 7381 and 7387

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

GCF of:
and

Greatest Common Factor of 7381 and 7387

GCF of 7381 and 7387 is 1

Prime Factorization of 7381


11 7381
11 671
61 61
1

Prime factors of 7381 are 11,61. Prime factorization of 7381 in exponential form is:

7381 = 112×611

Prime Factorization of 7387


83 7387
89 89
1

Prime factors of 7387 are 83,89. Prime factorization of 7387 in exponential form is:

7387 = 831×891

∴ So by taking common prime factors GCF of 7381 and 7387 is 1

Greatest Common Factor of 7381 and 7387 by matching factors method

Factors of 7381

List of positive integer factors of 7381 that divides 7381 without a remainder.

1,11,61,121,671,7381

Factors of 7387

List of positive integer factors of 7387 that divides 7387 without a remainder.

1,83,89,7387

Greatest Common Factor

We found the factors and prime factorization of 7381 and 7387. The biggest common factor number is the GCF number.
So the greatest common factor 7381 and 7387 is 1.

Also check out the Least Common Multiple of 7381 and 7387

Properties of GCF 7381 and 7387

(i) The GCF of 7381 and 7387 is associative

GCF of 7381 and 7387 = GCF of 7387 and 7381

Related Greatest Common Factor of 7381

Related Greatest Common Factor of 7387

Frequently Asked Questions on GCF of 7381 and 7387

1. What is the GCF of 7381 and 7387?

Answer: GCF of 7381 and 7387 is 1.

2. What are the Factors of 7381?

Answer: Factors of 7381 are 1, 11, 61, 121, 671, 7381. There are 6 integers that are factors of 7381. The greatest factor of 7381 is 7381.

3. What are the Factors of 7387?

Answer: Factors of 7387 are 1, 83, 89, 7387. There are 4 integers that are factors of 7387. The greatest factor of 7387 is 7387.

4. How to Find the GCF of 7381 and 7387?

Answer:

Greatest Common Factor of 7381 and 7387 = 1

Step 1: Find the prime factorization of 7381

7381 = 11 x 11 x 61

Step 2: Find the prime factorization of 7387

7387 = 83 x 89

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 7381 and 7387 is 1