What is the Greatest Common Factor of 90079 and 90096?

Greatest common factor (GCF) of 90079 and 90096 is 1.

GCF(90079,90096) = 1

We will now calculate the prime factors of 90079 and 90096, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90079 and 90096.

How to find the GCF of 90079 and 90096?

We will first find the prime factorization of 90079 and 90096. After we will calculate the factors of 90079 and 90096 and find the biggest common factor number .

Step-1: Prime Factorization of 90079

Prime factors of 90079 are 11, 19, 431. Prime factorization of 90079 in exponential form is:

90079 = 11¹ × 19¹ × 431¹

Step-2: Prime Factorization of 90096

Prime factors of 90096 are 2, 3, 1877. Prime factorization of 90096 in exponential form is:

90096 = 2⁴ × 3¹ × 1877¹

Step-3: Factors of 90079

List of positive integer factors of 90079 that divides 90079 without a remainder.

1, 11, 19, 209, 431, 4741, 8189

Step-4: Factors of 90096

List of positive integer factors of 90096 that divides 90079 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 1877, 3754, 5631, 7508, 11262, 15016, 22524, 30032, 45048

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90079 and 90096. The biggest common factor number is the GCF number.
So the greatest common factor 90079 and 90096 is 1.

Also check out the Least Common Multiple of 90079 and 90096