What is the Greatest Common Factor of 96992 and 97001?

Greatest common factor (GCF) of 96992 and 97001 is 1.

GCF(96992,97001) = 1

We will now calculate the prime factors of 96992 and 97001, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96992 and 97001.

How to find the GCF of 96992 and 97001?

We will first find the prime factorization of 96992 and 97001. After we will calculate the factors of 96992 and 97001 and find the biggest common factor number .

Step-1: Prime Factorization of 96992

Prime factors of 96992 are 2, 7, 433. Prime factorization of 96992 in exponential form is:

96992 = 2⁵ × 7¹ × 433¹

Step-2: Prime Factorization of 97001

Prime factors of 97001 are 97001. Prime factorization of 97001 in exponential form is:

97001 = 97001¹

Step-3: Factors of 96992

List of positive integer factors of 96992 that divides 96992 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224, 433, 866, 1732, 3031, 3464, 6062, 6928, 12124, 13856, 24248, 48496

Step-4: Factors of 97001

List of positive integer factors of 97001 that divides 96992 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96992 and 97001. The biggest common factor number is the GCF number.
So the greatest common factor 96992 and 97001 is 1.

Also check out the Least Common Multiple of 96992 and 97001