What is the Greatest Common Factor of 74757 and 74762?

Greatest common factor (GCF) of 74757 and 74762 is 1.

GCF(74757,74762) = 1

We will now calculate the prime factors of 74757 and 74762, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74757 and 74762.

How to find the GCF of 74757 and 74762?

We will first find the prime factorization of 74757 and 74762. After we will calculate the factors of 74757 and 74762 and find the biggest common factor number .

Step-1: Prime Factorization of 74757

Prime factors of 74757 are 3, 24919. Prime factorization of 74757 in exponential form is:

74757 = 3¹ × 24919¹

Step-2: Prime Factorization of 74762

Prime factors of 74762 are 2, 29, 1289. Prime factorization of 74762 in exponential form is:

74762 = 2¹ × 29¹ × 1289¹

Step-3: Factors of 74757

List of positive integer factors of 74757 that divides 74757 without a remainder.

1, 3, 24919

Step-4: Factors of 74762

List of positive integer factors of 74762 that divides 74757 without a remainder.

1, 2, 29, 58, 1289, 2578, 37381

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74757 and 74762. The biggest common factor number is the GCF number.
So the greatest common factor 74757 and 74762 is 1.

Also check out the Least Common Multiple of 74757 and 74762