What is the Greatest Common Factor of 48757 and 48762?

Greatest common factor (GCF) of 48757 and 48762 is 1.

GCF(48757,48762) = 1

We will now calculate the prime factors of 48757 and 48762, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48757 and 48762.

How to find the GCF of 48757 and 48762?

We will first find the prime factorization of 48757 and 48762. After we will calculate the factors of 48757 and 48762 and find the biggest common factor number .

Step-1: Prime Factorization of 48757

Prime factors of 48757 are 48757. Prime factorization of 48757 in exponential form is:

48757 = 48757¹

Step-2: Prime Factorization of 48762

Prime factors of 48762 are 2, 3, 7, 43. Prime factorization of 48762 in exponential form is:

48762 = 2¹ × 3⁴ × 7¹ × 43¹

Step-3: Factors of 48757

List of positive integer factors of 48757 that divides 48757 without a remainder.

Step-4: Factors of 48762

List of positive integer factors of 48762 that divides 48757 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 43, 54, 63, 81, 86, 126, 129, 162, 189, 258, 301, 378, 387, 567, 602, 774, 903, 1134, 1161, 1806, 2322, 2709, 3483, 5418, 6966, 8127, 16254, 24381

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48757 and 48762. The biggest common factor number is the GCF number.
So the greatest common factor 48757 and 48762 is 1.

Also check out the Least Common Multiple of 48757 and 48762