What is the Greatest Common Factor of 7535 and 7546?

Greatest common factor (GCF) of 7535 and 7546 is 11.

GCF(7535,7546) = 11

We will now calculate the prime factors of 7535 and 7546, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7535 and 7546.

How to find the GCF of 7535 and 7546?

We will first find the prime factorization of 7535 and 7546. After we will calculate the factors of 7535 and 7546 and find the biggest common factor number .

Step-1: Prime Factorization of 7535

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

7535 = 5¹ × 11¹ × 137¹

Step-2: Prime Factorization of 7546

Prime factors of 7546 are 2, 7, 11. Prime factorization of 7546 in exponential form is:

7546 = 2¹ × 7³ × 11¹

Step-3: Factors of 7535

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

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

Step-4: Factors of 7546

List of positive integer factors of 7546 that divides 7535 without a remainder.

1, 2, 7, 11, 14, 22, 49, 77, 98, 154, 343, 539, 686, 1078, 3773

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7535 and 7546. The biggest common factor number is the GCF number.
So the greatest common factor 7535 and 7546 is 11.

Also check out the Least Common Multiple of 7535 and 7546