What is the Greatest Common Factor of 83758 and 83768?

Greatest common factor (GCF) of 83758 and 83768 is 2.

GCF(83758,83768) = 2

We will now calculate the prime factors of 83758 and 83768, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83758 and 83768.

How to find the GCF of 83758 and 83768?

We will first find the prime factorization of 83758 and 83768. After we will calculate the factors of 83758 and 83768 and find the biggest common factor number .

Step-1: Prime Factorization of 83758

Prime factors of 83758 are 2, 41879. Prime factorization of 83758 in exponential form is:

83758 = 2¹ × 41879¹

Step-2: Prime Factorization of 83768

Prime factors of 83768 are 2, 37, 283. Prime factorization of 83768 in exponential form is:

83768 = 2³ × 37¹ × 283¹

Step-3: Factors of 83758

List of positive integer factors of 83758 that divides 83758 without a remainder.

1, 2, 41879

Step-4: Factors of 83768

List of positive integer factors of 83768 that divides 83758 without a remainder.

1, 2, 4, 8, 37, 74, 148, 283, 296, 566, 1132, 2264, 10471, 20942, 41884

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83758 and 83768. The biggest common factor number is the GCF number.
So the greatest common factor 83758 and 83768 is 2.

Also check out the Least Common Multiple of 83758 and 83768