What is the Greatest Common Factor of 54742 and 54752?

Greatest common factor (GCF) of 54742 and 54752 is 2.

GCF(54742,54752) = 2

We will now calculate the prime factors of 54742 and 54752, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54742 and 54752.

How to find the GCF of 54742 and 54752?

We will first find the prime factorization of 54742 and 54752. After we will calculate the factors of 54742 and 54752 and find the biggest common factor number .

Step-1: Prime Factorization of 54742

Prime factors of 54742 are 2, 101, 271. Prime factorization of 54742 in exponential form is:

54742 = 2¹ × 101¹ × 271¹

Step-2: Prime Factorization of 54752

Prime factors of 54752 are 2, 29, 59. Prime factorization of 54752 in exponential form is:

54752 = 2⁵ × 29¹ × 59¹

Step-3: Factors of 54742

List of positive integer factors of 54742 that divides 54742 without a remainder.

1, 2, 101, 202, 271, 542, 27371

Step-4: Factors of 54752

List of positive integer factors of 54752 that divides 54742 without a remainder.

1, 2, 4, 8, 16, 29, 32, 58, 59, 116, 118, 232, 236, 464, 472, 928, 944, 1711, 1888, 3422, 6844, 13688, 27376

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54742 and 54752. The biggest common factor number is the GCF number.
So the greatest common factor 54742 and 54752 is 2.

Also check out the Least Common Multiple of 54742 and 54752