What is the Greatest Common Factor of 96978 and 96992?

Greatest common factor (GCF) of 96978 and 96992 is 14.

GCF(96978,96992) = 14

We will now calculate the prime factors of 96978 and 96992, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96978 and 96992.

How to find the GCF of 96978 and 96992?

We will first find the prime factorization of 96978 and 96992. After we will calculate the factors of 96978 and 96992 and find the biggest common factor number .

Step-1: Prime Factorization of 96978

Prime factors of 96978 are 2, 3, 7, 2309. Prime factorization of 96978 in exponential form is:

96978 = 2¹ × 3¹ × 7¹ × 2309¹

Step-2: 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-3: Factors of 96978

List of positive integer factors of 96978 that divides 96978 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 2309, 4618, 6927, 13854, 16163, 32326, 48489

Step-4: Factors of 96992

List of positive integer factors of 96992 that divides 96978 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96978 and 96992. The biggest common factor number is the GCF number.
So the greatest common factor 96978 and 96992 is 14.

Also check out the Least Common Multiple of 96978 and 96992