What is the Greatest Common Factor of 71749 and 71762?

Greatest common factor (GCF) of 71749 and 71762 is 1.

GCF(71749,71762) = 1

We will now calculate the prime factors of 71749 and 71762, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71749 and 71762.

How to find the GCF of 71749 and 71762?

We will first find the prime factorization of 71749 and 71762. After we will calculate the factors of 71749 and 71762 and find the biggest common factor number .

Step-1: Prime Factorization of 71749

Prime factors of 71749 are 157, 457. Prime factorization of 71749 in exponential form is:

71749 = 157¹ × 457¹

Step-2: Prime Factorization of 71762

Prime factors of 71762 are 2, 53, 677. Prime factorization of 71762 in exponential form is:

71762 = 2¹ × 53¹ × 677¹

Step-3: Factors of 71749

List of positive integer factors of 71749 that divides 71749 without a remainder.

1, 157, 457

Step-4: Factors of 71762

List of positive integer factors of 71762 that divides 71749 without a remainder.

1, 2, 53, 106, 677, 1354, 35881

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71749 and 71762. The biggest common factor number is the GCF number.
So the greatest common factor 71749 and 71762 is 1.

Also check out the Least Common Multiple of 71749 and 71762