What is the Greatest Common Factor of 7536 and 7542?

Greatest common factor (GCF) of 7536 and 7542 is 6.

GCF(7536,7542) = 6

We will now calculate the prime factors of 7536 and 7542, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7536 and 7542.

How to find the GCF of 7536 and 7542?

We will first find the prime factorization of 7536 and 7542. After we will calculate the factors of 7536 and 7542 and find the biggest common factor number .

Step-1: Prime Factorization of 7536

Prime factors of 7536 are 2, 3, 157. Prime factorization of 7536 in exponential form is:

7536 = 2⁴ × 3¹ × 157¹

Step-2: Prime Factorization of 7542

Prime factors of 7542 are 2, 3, 419. Prime factorization of 7542 in exponential form is:

7542 = 2¹ × 3² × 419¹

Step-3: Factors of 7536

List of positive integer factors of 7536 that divides 7536 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 157, 314, 471, 628, 942, 1256, 1884, 2512, 3768

Step-4: Factors of 7542

List of positive integer factors of 7542 that divides 7536 without a remainder.

1, 2, 3, 6, 9, 18, 419, 838, 1257, 2514, 3771

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7536 and 7542. The biggest common factor number is the GCF number.
So the greatest common factor 7536 and 7542 is 6.

Also check out the Least Common Multiple of 7536 and 7542