What is the Greatest Common Factor of 96992 and 97008?

Greatest common factor (GCF) of 96992 and 97008 is 16.

GCF(96992,97008) = 16

We will now calculate the prime factors of 96992 and 97008, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96992 and 97008.

How to find the GCF of 96992 and 97008?

We will first find the prime factorization of 96992 and 97008. After we will calculate the factors of 96992 and 97008 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 97008

Prime factors of 97008 are 2, 3, 43, 47. Prime factorization of 97008 in exponential form is:

97008 = 2⁴ × 3¹ × 43¹ × 47¹

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 97008

List of positive integer factors of 97008 that divides 96992 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 43, 47, 48, 86, 94, 129, 141, 172, 188, 258, 282, 344, 376, 516, 564, 688, 752, 1032, 1128, 2021, 2064, 2256, 4042, 6063, 8084, 12126, 16168, 24252, 32336, 48504

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96992 and 97008. The biggest common factor number is the GCF number.
So the greatest common factor 96992 and 97008 is 16.

Also check out the Least Common Multiple of 96992 and 97008