What is the Greatest Common Factor of 85083 and 85096?

Greatest common factor (GCF) of 85083 and 85096 is 1.

GCF(85083,85096) = 1

We will now calculate the prime factors of 85083 and 85096, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85083 and 85096.

How to find the GCF of 85083 and 85096?

We will first find the prime factorization of 85083 and 85096. After we will calculate the factors of 85083 and 85096 and find the biggest common factor number .

Step-1: Prime Factorization of 85083

Prime factors of 85083 are 3, 79, 359. Prime factorization of 85083 in exponential form is:

85083 = 3¹ × 79¹ × 359¹

Step-2: Prime Factorization of 85096

Prime factors of 85096 are 2, 11, 967. Prime factorization of 85096 in exponential form is:

85096 = 2³ × 11¹ × 967¹

Step-3: Factors of 85083

List of positive integer factors of 85083 that divides 85083 without a remainder.

1, 3, 79, 237, 359, 1077, 28361

Step-4: Factors of 85096

List of positive integer factors of 85096 that divides 85083 without a remainder.

1, 2, 4, 8, 11, 22, 44, 88, 967, 1934, 3868, 7736, 10637, 21274, 42548

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85083 and 85096. The biggest common factor number is the GCF number.
So the greatest common factor 85083 and 85096 is 1.

Also check out the Least Common Multiple of 85083 and 85096