What is the Greatest Common Factor of 72048 and 72064?

Greatest common factor (GCF) of 72048 and 72064 is 16.

GCF(72048,72064) = 16

We will now calculate the prime factors of 72048 and 72064, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72048 and 72064.

How to find the GCF of 72048 and 72064?

We will first find the prime factorization of 72048 and 72064. After we will calculate the factors of 72048 and 72064 and find the biggest common factor number .

Step-1: Prime Factorization of 72048

Prime factors of 72048 are 2, 3, 19, 79. Prime factorization of 72048 in exponential form is:

72048 = 2⁴ × 3¹ × 19¹ × 79¹

Step-2: Prime Factorization of 72064

Prime factors of 72064 are 2, 563. Prime factorization of 72064 in exponential form is:

72064 = 2⁷ × 563¹

Step-3: Factors of 72048

List of positive integer factors of 72048 that divides 72048 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 79, 114, 152, 158, 228, 237, 304, 316, 456, 474, 632, 912, 948, 1264, 1501, 1896, 3002, 3792, 4503, 6004, 9006, 12008, 18012, 24016, 36024

Step-4: Factors of 72064

List of positive integer factors of 72064 that divides 72048 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 563, 1126, 2252, 4504, 9008, 18016, 36032

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72048 and 72064. The biggest common factor number is the GCF number.
So the greatest common factor 72048 and 72064 is 16.

Also check out the Least Common Multiple of 72048 and 72064