What is the Greatest Common Factor of 83678 and 83693?

Greatest common factor (GCF) of 83678 and 83693 is 1.

GCF(83678,83693) = 1

We will now calculate the prime factors of 83678 and 83693, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83678 and 83693.

How to find the GCF of 83678 and 83693?

We will first find the prime factorization of 83678 and 83693. After we will calculate the factors of 83678 and 83693 and find the biggest common factor number .

Step-1: Prime Factorization of 83678

Prime factors of 83678 are 2, 7, 43, 139. Prime factorization of 83678 in exponential form is:

83678 = 2¹ × 7¹ × 43¹ × 139¹

Step-2: Prime Factorization of 83693

Prime factors of 83693 are 127, 659. Prime factorization of 83693 in exponential form is:

83693 = 127¹ × 659¹

Step-3: Factors of 83678

List of positive integer factors of 83678 that divides 83678 without a remainder.

1, 2, 7, 14, 43, 86, 139, 278, 301, 602, 973, 1946, 5977, 11954, 41839

Step-4: Factors of 83693

List of positive integer factors of 83693 that divides 83678 without a remainder.

1, 127, 659

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83678 and 83693. The biggest common factor number is the GCF number.
So the greatest common factor 83678 and 83693 is 1.

Also check out the Least Common Multiple of 83678 and 83693