What is the Greatest Common Factor of 7546 and 7566?

Greatest common factor (GCF) of 7546 and 7566 is 2.

GCF(7546,7566) = 2

We will now calculate the prime factors of 7546 and 7566, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7546 and 7566.

How to find the GCF of 7546 and 7566?

We will first find the prime factorization of 7546 and 7566. After we will calculate the factors of 7546 and 7566 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 7566

Prime factors of 7566 are 2, 3, 13, 97. Prime factorization of 7566 in exponential form is:

7566 = 2¹ × 3¹ × 13¹ × 97¹

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 7566

List of positive integer factors of 7566 that divides 7546 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78, 97, 194, 291, 582, 1261, 2522, 3783

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7546 and 7566. The biggest common factor number is the GCF number.
So the greatest common factor 7546 and 7566 is 2.

Also check out the Least Common Multiple of 7546 and 7566