What is the Greatest Common Factor of 48732 and 48742?

Greatest common factor (GCF) of 48732 and 48742 is 2.

GCF(48732,48742) = 2

We will now calculate the prime factors of 48732 and 48742, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48732 and 48742.

How to find the GCF of 48732 and 48742?

We will first find the prime factorization of 48732 and 48742. After we will calculate the factors of 48732 and 48742 and find the biggest common factor number .

Step-1: Prime Factorization of 48732

Prime factors of 48732 are 2, 3, 31, 131. Prime factorization of 48732 in exponential form is:

48732 = 2² × 3¹ × 31¹ × 131¹

Step-2: Prime Factorization of 48742

Prime factors of 48742 are 2, 24371. Prime factorization of 48742 in exponential form is:

48742 = 2¹ × 24371¹

Step-3: Factors of 48732

List of positive integer factors of 48732 that divides 48732 without a remainder.

1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 131, 186, 262, 372, 393, 524, 786, 1572, 4061, 8122, 12183, 16244, 24366

Step-4: Factors of 48742

List of positive integer factors of 48742 that divides 48732 without a remainder.

1, 2, 24371

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48732 and 48742. The biggest common factor number is the GCF number.
So the greatest common factor 48732 and 48742 is 2.

Also check out the Least Common Multiple of 48732 and 48742