What is the Greatest Common Factor of 96050 and 96064?

Greatest common factor (GCF) of 96050 and 96064 is 2.

GCF(96050,96064) = 2

We will now calculate the prime factors of 96050 and 96064, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96050 and 96064.

How to find the GCF of 96050 and 96064?

We will first find the prime factorization of 96050 and 96064. After we will calculate the factors of 96050 and 96064 and find the biggest common factor number .

Step-1: Prime Factorization of 96050

Prime factors of 96050 are 2, 5, 17, 113. Prime factorization of 96050 in exponential form is:

96050 = 2¹ × 5² × 17¹ × 113¹

Step-2: 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-3: Factors of 96050

List of positive integer factors of 96050 that divides 96050 without a remainder.

1, 2, 5, 10, 17, 25, 34, 50, 85, 113, 170, 226, 425, 565, 850, 1130, 1921, 2825, 3842, 5650, 9605, 19210, 48025

Step-4: Factors of 96064

List of positive integer factors of 96064 that divides 96050 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96050 and 96064. The biggest common factor number is the GCF number.
So the greatest common factor 96050 and 96064 is 2.

Also check out the Least Common Multiple of 96050 and 96064