Greatest Common Factor of 7534 and 7535

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 7534, 7535 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7534 and 7535 is 1.

GCF(7534,7535) = 1

GCF of 7534 and 7535

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

GCF of:
and

Greatest Common Factor of 7534 and 7535

GCF of 7534 and 7535 is 1

Prime Factorization of 7534


2 7534
3767 3767
1

Prime factors of 7534 are 2,3767. Prime factorization of 7534 in exponential form is:

7534 = 21×37671

Prime Factorization of 7535


5 7535
11 1507
137 137
1

Prime factors of 7535 are 5,11,137. Prime factorization of 7535 in exponential form is:

7535 = 51×111×1371

∴ So by taking common prime factors GCF of 7534 and 7535 is 1

Greatest Common Factor of 7534 and 7535 by matching factors method

Factors of 7534

List of positive integer factors of 7534 that divides 7534 without a remainder.

1,2,3767,7534

Factors of 7535

List of positive integer factors of 7535 that divides 7535 without a remainder.

1,5,11,55,137,685,1507,7535

Greatest Common Factor

We found the factors and prime factorization of 7534 and 7535. The biggest common factor number is the GCF number.
So the greatest common factor 7534 and 7535 is 1.

Also check out the Least Common Multiple of 7534 and 7535

Properties of GCF 7534 and 7535

(i) The GCF of 7534 and 7535 is associative

GCF of 7534 and 7535 = GCF of 7535 and 7534

Related Greatest Common Factor of 7534

Related Greatest Common Factor of 7535

Frequently Asked Questions on GCF of 7534 and 7535

1. What is the GCF of 7534 and 7535?

Answer: GCF of 7534 and 7535 is 1.

2. What are the Factors of 7534?

Answer: Factors of 7534 are 1, 2, 3767, 7534. There are 4 integers that are factors of 7534. The greatest factor of 7534 is 7534.

3. What are the Factors of 7535?

Answer: Factors of 7535 are 1, 5, 11, 55, 137, 685, 1507, 7535. There are 8 integers that are factors of 7535. The greatest factor of 7535 is 7535.

4. How to Find the GCF of 7534 and 7535?

Answer:

Greatest Common Factor of 7534 and 7535 = 1

Step 1: Find the prime factorization of 7534

7534 = 2 x 3767

Step 2: Find the prime factorization of 7535

7535 = 5 x 11 x 137

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 7534 and 7535 is 1