What is the Greatest Common Factor of 72042 and 72048?

Greatest common factor (GCF) of 72042 and 72048 is 6.

GCF(72042,72048) = 6

We will now calculate the prime factors of 72042 and 72048, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72042 and 72048.

How to find the GCF of 72042 and 72048?

We will first find the prime factorization of 72042 and 72048. After we will calculate the factors of 72042 and 72048 and find the biggest common factor number .

Step-1: Prime Factorization of 72042

Prime factors of 72042 are 2, 3, 12007. Prime factorization of 72042 in exponential form is:

72042 = 2¹ × 3¹ × 12007¹

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 72042

List of positive integer factors of 72042 that divides 72042 without a remainder.

1, 2, 3, 6, 12007, 24014, 36021

Step-4: Factors of 72048

List of positive integer factors of 72048 that divides 72042 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 72042 and 72048. The biggest common factor number is the GCF number.
So the greatest common factor 72042 and 72048 is 6.

Also check out the Least Common Multiple of 72042 and 72048