What is the Greatest Common Factor of 83955 and 83969?

Greatest common factor (GCF) of 83955 and 83969 is 1.

GCF(83955,83969) = 1

We will now calculate the prime factors of 83955 and 83969, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83955 and 83969.

How to find the GCF of 83955 and 83969?

We will first find the prime factorization of 83955 and 83969. After we will calculate the factors of 83955 and 83969 and find the biggest common factor number .

Step-1: Prime Factorization of 83955

Prime factors of 83955 are 3, 5, 29, 193. Prime factorization of 83955 in exponential form is:

83955 = 3¹ × 5¹ × 29¹ × 193¹

Step-2: Prime Factorization of 83969

Prime factors of 83969 are 83969. Prime factorization of 83969 in exponential form is:

83969 = 83969¹

Step-3: Factors of 83955

List of positive integer factors of 83955 that divides 83955 without a remainder.

1, 3, 5, 15, 29, 87, 145, 193, 435, 579, 965, 2895, 5597, 16791, 27985

Step-4: Factors of 83969

List of positive integer factors of 83969 that divides 83955 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83955 and 83969. The biggest common factor number is the GCF number.
So the greatest common factor 83955 and 83969 is 1.

Also check out the Least Common Multiple of 83955 and 83969