What is the Greatest Common Factor of 96064 and 96074?

Greatest common factor (GCF) of 96064 and 96074 is 2.

GCF(96064,96074) = 2

We will now calculate the prime factors of 96064 and 96074, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96064 and 96074.

How to find the GCF of 96064 and 96074?

We will first find the prime factorization of 96064 and 96074. After we will calculate the factors of 96064 and 96074 and find the biggest common factor number .

Step-1: Prime Factorization of 96064

Prime factors of 96064 are 2, 19, 79. Prime factorization of 96064 in exponential form is:

96064 = 2⁶ × 19¹ × 79¹

Step-2: Prime Factorization of 96074

Prime factors of 96074 are 2, 11, 397. Prime factorization of 96074 in exponential form is:

96074 = 2¹ × 11² × 397¹

Step-3: Factors of 96064

List of positive integer factors of 96064 that divides 96064 without a remainder.

1, 2, 4, 8, 16, 19, 32, 38, 64, 76, 79, 152, 158, 304, 316, 608, 632, 1216, 1264, 1501, 2528, 3002, 5056, 6004, 12008, 24016, 48032

Step-4: Factors of 96074

List of positive integer factors of 96074 that divides 96064 without a remainder.

1, 2, 11, 22, 121, 242, 397, 794, 4367, 8734, 48037

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96064 and 96074. The biggest common factor number is the GCF number.
So the greatest common factor 96064 and 96074 is 2.

Also check out the Least Common Multiple of 96064 and 96074