Greatest Common Factor of 7486 and 7489

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 7486, 7489 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7486 and 7489 is 1.

GCF(7486,7489) = 1

GCF of 7486 and 7489

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

GCF of:
and

Greatest Common Factor of 7486 and 7489

GCF of 7486 and 7489 is 1

Prime Factorization of 7486


2 7486
19 3743
197 197
1

Prime factors of 7486 are 2,19,197. Prime factorization of 7486 in exponential form is:

7486 = 21×191×1971

Prime Factorization of 7489


7489 7489
1

Prime factors of 7489 are 7489. Prime factorization of 7489 in exponential form is:

7489 = 74891

∴ So by taking common prime factors GCF of 7486 and 7489 is 1

Greatest Common Factor of 7486 and 7489 by matching factors method

Factors of 7486

List of positive integer factors of 7486 that divides 7486 without a remainder.

1,2,19,38,197,394,3743,7486

Factors of 7489

List of positive integer factors of 7489 that divides 7489 without a remainder.

1,7489

Greatest Common Factor

We found the factors and prime factorization of 7486 and 7489. The biggest common factor number is the GCF number.
So the greatest common factor 7486 and 7489 is 1.

Also check out the Least Common Multiple of 7486 and 7489

Properties of GCF 7486 and 7489

(i) The GCF of 7486 and 7489 is associative

GCF of 7486 and 7489 = GCF of 7489 and 7486

Related Greatest Common Factor of 7486

Related Greatest Common Factor of 7489

Frequently Asked Questions on GCF of 7486 and 7489

1. What is the GCF of 7486 and 7489?

Answer: GCF of 7486 and 7489 is 1.

2. What are the Factors of 7486?

Answer: Factors of 7486 are 1, 2, 19, 38, 197, 394, 3743, 7486. There are 8 integers that are factors of 7486. The greatest factor of 7486 is 7486.

3. What are the Factors of 7489?

Answer: Factors of 7489 are 1, 7489. There are 2 integers that are factors of 7489. The greatest factor of 7489 is 7489.

4. How to Find the GCF of 7486 and 7489?

Answer:

Greatest Common Factor of 7486 and 7489 = 1

Step 1: Find the prime factorization of 7486

7486 = 2 x 19 x 197

Step 2: Find the prime factorization of 7489

7489 = 7489

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 7486 and 7489 is 1