What is the Greatest Common Factor of 7546 and 7555?

Greatest common factor (GCF) of 7546 and 7555 is 1.

GCF(7546,7555) = 1

We will now calculate the prime factors of 7546 and 7555, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7546 and 7555.

How to find the GCF of 7546 and 7555?

We will first find the prime factorization of 7546 and 7555. After we will calculate the factors of 7546 and 7555 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 7555

Prime factors of 7555 are 5, 1511. Prime factorization of 7555 in exponential form is:

7555 = 5¹ × 1511¹

Step-3: Factors of 7546

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

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

Step-4: Factors of 7555

List of positive integer factors of 7555 that divides 7546 without a remainder.

1, 5, 1511

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7546 and 7555. The biggest common factor number is the GCF number.
So the greatest common factor 7546 and 7555 is 1.

Also check out the Least Common Multiple of 7546 and 7555