What is the Greatest Common Factor of 58748 and 58762?

Greatest common factor (GCF) of 58748 and 58762 is 2.

GCF(58748,58762) = 2

We will now calculate the prime factors of 58748 and 58762, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58748 and 58762.

How to find the GCF of 58748 and 58762?

We will first find the prime factorization of 58748 and 58762. After we will calculate the factors of 58748 and 58762 and find the biggest common factor number .

Step-1: Prime Factorization of 58748

Prime factors of 58748 are 2, 19, 773. Prime factorization of 58748 in exponential form is:

58748 = 2² × 19¹ × 773¹

Step-2: Prime Factorization of 58762

Prime factors of 58762 are 2, 11, 2671. Prime factorization of 58762 in exponential form is:

58762 = 2¹ × 11¹ × 2671¹

Step-3: Factors of 58748

List of positive integer factors of 58748 that divides 58748 without a remainder.

1, 2, 4, 19, 38, 76, 773, 1546, 3092, 14687, 29374

Step-4: Factors of 58762

List of positive integer factors of 58762 that divides 58748 without a remainder.

1, 2, 11, 22, 2671, 5342, 29381

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58748 and 58762. The biggest common factor number is the GCF number.
So the greatest common factor 58748 and 58762 is 2.

Also check out the Least Common Multiple of 58748 and 58762