What is the Greatest Common Factor of 7546 and 7550?

Greatest common factor (GCF) of 7546 and 7550 is 2.

GCF(7546,7550) = 2

We will now calculate the prime factors of 7546 and 7550, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7546 and 7550.

How to find the GCF of 7546 and 7550?

We will first find the prime factorization of 7546 and 7550. After we will calculate the factors of 7546 and 7550 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 7550

Prime factors of 7550 are 2, 5, 151. Prime factorization of 7550 in exponential form is:

7550 = 2¹ × 5² × 151¹

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 7550

List of positive integer factors of 7550 that divides 7546 without a remainder.

1, 2, 5, 10, 25, 50, 151, 302, 755, 1510, 3775

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7546 and 7550. The biggest common factor number is the GCF number.
So the greatest common factor 7546 and 7550 is 2.

Also check out the Least Common Multiple of 7546 and 7550