What is the Greatest Common Factor of 48745 and 48762?

Greatest common factor (GCF) of 48745 and 48762 is 1.

GCF(48745,48762) = 1

We will now calculate the prime factors of 48745 and 48762, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48745 and 48762.

How to find the GCF of 48745 and 48762?

We will first find the prime factorization of 48745 and 48762. After we will calculate the factors of 48745 and 48762 and find the biggest common factor number .

Step-1: Prime Factorization of 48745

Prime factors of 48745 are 5, 9749. Prime factorization of 48745 in exponential form is:

48745 = 5¹ × 9749¹

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 48745

List of positive integer factors of 48745 that divides 48745 without a remainder.

1, 5, 9749

Step-4: Factors of 48762

List of positive integer factors of 48762 that divides 48745 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 48745 and 48762. The biggest common factor number is the GCF number.
So the greatest common factor 48745 and 48762 is 1.

Also check out the Least Common Multiple of 48745 and 48762