What is the Greatest Common Factor of 72035 and 72048?

Greatest common factor (GCF) of 72035 and 72048 is 1.

GCF(72035,72048) = 1

We will now calculate the prime factors of 72035 and 72048, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72035 and 72048.

How to find the GCF of 72035 and 72048?

We will first find the prime factorization of 72035 and 72048. After we will calculate the factors of 72035 and 72048 and find the biggest common factor number .

Step-1: Prime Factorization of 72035

Prime factors of 72035 are 5, 14407. Prime factorization of 72035 in exponential form is:

72035 = 5¹ × 14407¹

Step-2: 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-3: Factors of 72035

List of positive integer factors of 72035 that divides 72035 without a remainder.

1, 5, 14407

Step-4: Factors of 72048

List of positive integer factors of 72048 that divides 72035 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72035 and 72048. The biggest common factor number is the GCF number.
So the greatest common factor 72035 and 72048 is 1.

Also check out the Least Common Multiple of 72035 and 72048