What is the Greatest Common Factor of 82955 and 82968?

Greatest common factor (GCF) of 82955 and 82968 is 1.

GCF(82955,82968) = 1

We will now calculate the prime factors of 82955 and 82968, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82955 and 82968.

How to find the GCF of 82955 and 82968?

We will first find the prime factorization of 82955 and 82968. After we will calculate the factors of 82955 and 82968 and find the biggest common factor number .

Step-1: Prime Factorization of 82955

Prime factors of 82955 are 5, 47, 353. Prime factorization of 82955 in exponential form is:

82955 = 5¹ × 47¹ × 353¹

Step-2: Prime Factorization of 82968

Prime factors of 82968 are 2, 3, 3457. Prime factorization of 82968 in exponential form is:

82968 = 2³ × 3¹ × 3457¹

Step-3: Factors of 82955

List of positive integer factors of 82955 that divides 82955 without a remainder.

1, 5, 47, 235, 353, 1765, 16591

Step-4: Factors of 82968

List of positive integer factors of 82968 that divides 82955 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 3457, 6914, 10371, 13828, 20742, 27656, 41484

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82955 and 82968. The biggest common factor number is the GCF number.
So the greatest common factor 82955 and 82968 is 1.

Also check out the Least Common Multiple of 82955 and 82968