What is the Greatest Common Factor of 48743 and 48762?

Greatest common factor (GCF) of 48743 and 48762 is 1.

GCF(48743,48762) = 1

We will now calculate the prime factors of 48743 and 48762, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48743 and 48762.

How to find the GCF of 48743 and 48762?

We will first find the prime factorization of 48743 and 48762. After we will calculate the factors of 48743 and 48762 and find the biggest common factor number .

Step-1: Prime Factorization of 48743

Prime factors of 48743 are 79, 617. Prime factorization of 48743 in exponential form is:

48743 = 79¹ × 617¹

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 48743

List of positive integer factors of 48743 that divides 48743 without a remainder.

1, 79, 617

Step-4: Factors of 48762

List of positive integer factors of 48762 that divides 48743 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 48743 and 48762. The biggest common factor number is the GCF number.
So the greatest common factor 48743 and 48762 is 1.

Also check out the Least Common Multiple of 48743 and 48762