What is the Greatest Common Factor of 67542 and 67552?

Greatest common factor (GCF) of 67542 and 67552 is 2.

GCF(67542,67552) = 2

We will now calculate the prime factors of 67542 and 67552, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67542 and 67552.

How to find the GCF of 67542 and 67552?

We will first find the prime factorization of 67542 and 67552. After we will calculate the factors of 67542 and 67552 and find the biggest common factor number .

Step-1: Prime Factorization of 67542

Prime factors of 67542 are 2, 3, 11257. Prime factorization of 67542 in exponential form is:

67542 = 2¹ × 3¹ × 11257¹

Step-2: Prime Factorization of 67552

Prime factors of 67552 are 2, 2111. Prime factorization of 67552 in exponential form is:

67552 = 2⁵ × 2111¹

Step-3: Factors of 67542

List of positive integer factors of 67542 that divides 67542 without a remainder.

1, 2, 3, 6, 11257, 22514, 33771

Step-4: Factors of 67552

List of positive integer factors of 67552 that divides 67542 without a remainder.

1, 2, 4, 8, 16, 32, 2111, 4222, 8444, 16888, 33776

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67542 and 67552. The biggest common factor number is the GCF number.
So the greatest common factor 67542 and 67552 is 2.

Also check out the Least Common Multiple of 67542 and 67552