What is the Greatest Common Factor of 83548 and 83567?

Greatest common factor (GCF) of 83548 and 83567 is 1.

GCF(83548,83567) = 1

We will now calculate the prime factors of 83548 and 83567, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83548 and 83567.

How to find the GCF of 83548 and 83567?

We will first find the prime factorization of 83548 and 83567. After we will calculate the factors of 83548 and 83567 and find the biggest common factor number .

Step-1: Prime Factorization of 83548

Prime factors of 83548 are 2, 20887. Prime factorization of 83548 in exponential form is:

83548 = 2² × 20887¹

Step-2: Prime Factorization of 83567

Prime factors of 83567 are 11, 71, 107. Prime factorization of 83567 in exponential form is:

83567 = 11¹ × 71¹ × 107¹

Step-3: Factors of 83548

List of positive integer factors of 83548 that divides 83548 without a remainder.

1, 2, 4, 20887, 41774

Step-4: Factors of 83567

List of positive integer factors of 83567 that divides 83548 without a remainder.

1, 11, 71, 107, 781, 1177, 7597

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83548 and 83567. The biggest common factor number is the GCF number.
So the greatest common factor 83548 and 83567 is 1.

Also check out the Least Common Multiple of 83548 and 83567