What is the Greatest Common Factor of 66432 and 66442?

Greatest common factor (GCF) of 66432 and 66442 is 2.

GCF(66432,66442) = 2

We will now calculate the prime factors of 66432 and 66442, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66432 and 66442.

How to find the GCF of 66432 and 66442?

We will first find the prime factorization of 66432 and 66442. After we will calculate the factors of 66432 and 66442 and find the biggest common factor number .

Step-1: Prime Factorization of 66432

Prime factors of 66432 are 2, 3, 173. Prime factorization of 66432 in exponential form is:

66432 = 2⁷ × 3¹ × 173¹

Step-2: Prime Factorization of 66442

Prime factors of 66442 are 2, 139, 239. Prime factorization of 66442 in exponential form is:

66442 = 2¹ × 139¹ × 239¹

Step-3: Factors of 66432

List of positive integer factors of 66432 that divides 66432 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 173, 192, 346, 384, 519, 692, 1038, 1384, 2076, 2768, 4152, 5536, 8304, 11072, 16608, 22144, 33216

Step-4: Factors of 66442

List of positive integer factors of 66442 that divides 66432 without a remainder.

1, 2, 139, 239, 278, 478, 33221

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66432 and 66442. The biggest common factor number is the GCF number.
So the greatest common factor 66432 and 66442 is 2.

Also check out the Least Common Multiple of 66432 and 66442