Greatest Common Factor of 7639 and 7642

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 7639, 7642 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7639 and 7642 is 1.

GCF(7639,7642) = 1

GCF of 7639 and 7642

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

GCF of:
and

Greatest Common Factor of 7639 and 7642

GCF of 7639 and 7642 is 1

Prime Factorization of 7639


7639 7639
1

Prime factors of 7639 are 7639. Prime factorization of 7639 in exponential form is:

7639 = 76391

Prime Factorization of 7642


2 7642
3821 3821
1

Prime factors of 7642 are 2.Prime factorization of 7642 in exponential form is:

7642 = 21×38211

∴ So by taking common prime factors GCF of 7639 and 7642 is 1

Greatest Common Factor of 7639 and 7642 by matching factors method

Factors of 7639

List of positive integer factors of 7639 that divides 7639 without a remainder.

1,7639

Factors of 7642

List of positive integer factors of 7642 that divides 7642 without a remainder.

1,2,3821,7642

Greatest Common Factor

We found the factors and prime factorization of 7639 and 7642. The biggest common factor number is the GCF number.
So the greatest common factor 7639 and 7642 is 1.

Also check out the Least Common Multiple of 7639 and 7642

Properties of GCF 7639 and 7642

(i) The GCF of 7639 and 7642 is associative

GCF of 7639 and 7642 = GCF of 7642 and 7639

Frequently Asked Questions on GCF of 7639 and 7642

1. What is the GCF of 7639 and 7642?

Answer: GCF of 7639 and 7642 is 1.

2. What are the Factors of 7639?

Answer: Factors of 7639 are 1, 7639. There are 2 integers that are factors of 7639. The greatest factor of 7639 is 7639.

3. What are the Factors of 7642?

Answer: Factors of 7642 are 1, 2, 3821, 7642. There are 4 integers that are factors of 7642. The greatest factor of 7642 is 7642.

4. How to Find the GCF of 7639 and 7642?

Answer:

Greatest Common Factor of 7639 and 7642 = 1

Step 1: Find the prime factorization of 7639

7639 = 7639

Step 2: Find the prime factorization of 7642

7642 = 2 x 3821

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 7639 and 7642 is 1