What is the Greatest Common Factor of 83549 and 83567?

Greatest common factor (GCF) of 83549 and 83567 is 1.

GCF(83549,83567) = 1

We will now calculate the prime factors of 83549 and 83567, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83549 and 83567.

How to find the GCF of 83549 and 83567?

We will first find the prime factorization of 83549 and 83567. After we will calculate the factors of 83549 and 83567 and find the biggest common factor number .

Step-1: Prime Factorization of 83549

Prime factors of 83549 are 29, 43, 67. Prime factorization of 83549 in exponential form is:

83549 = 29¹ × 43¹ × 67¹

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 83549

List of positive integer factors of 83549 that divides 83549 without a remainder.

1, 29, 43, 67, 1247, 1943, 2881

Step-4: Factors of 83567

List of positive integer factors of 83567 that divides 83549 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83549 and 83567. The biggest common factor number is the GCF number.
So the greatest common factor 83549 and 83567 is 1.

Also check out the Least Common Multiple of 83549 and 83567