What is the Greatest Common Factor of 96049 and 96064?

Greatest common factor (GCF) of 96049 and 96064 is 1.

GCF(96049,96064) = 1

We will now calculate the prime factors of 96049 and 96064, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96049 and 96064.

How to find the GCF of 96049 and 96064?

We will first find the prime factorization of 96049 and 96064. After we will calculate the factors of 96049 and 96064 and find the biggest common factor number .

Step-1: Prime Factorization of 96049

Prime factors of 96049 are 139, 691. Prime factorization of 96049 in exponential form is:

96049 = 139¹ × 691¹

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 96049

List of positive integer factors of 96049 that divides 96049 without a remainder.

1, 139, 691

Step-4: Factors of 96064

List of positive integer factors of 96064 that divides 96049 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 96049 and 96064. The biggest common factor number is the GCF number.
So the greatest common factor 96049 and 96064 is 1.

Also check out the Least Common Multiple of 96049 and 96064