What is the Greatest Common Factor of 66024 and 66031?

Greatest common factor (GCF) of 66024 and 66031 is 7.

GCF(66024,66031) = 7

We will now calculate the prime factors of 66024 and 66031, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66024 and 66031.

How to find the GCF of 66024 and 66031?

We will first find the prime factorization of 66024 and 66031. After we will calculate the factors of 66024 and 66031 and find the biggest common factor number .

Step-1: Prime Factorization of 66024

Prime factors of 66024 are 2, 3, 7, 131. Prime factorization of 66024 in exponential form is:

66024 = 2³ × 3² × 7¹ × 131¹

Step-2: Prime Factorization of 66031

Prime factors of 66031 are 7, 9433. Prime factorization of 66031 in exponential form is:

66031 = 7¹ × 9433¹

Step-3: Factors of 66024

List of positive integer factors of 66024 that divides 66024 without a remainder.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 131, 168, 252, 262, 393, 504, 524, 786, 917, 1048, 1179, 1572, 1834, 2358, 2751, 3144, 3668, 4716, 5502, 7336, 8253, 9432, 11004, 16506, 22008, 33012

Step-4: Factors of 66031

List of positive integer factors of 66031 that divides 66024 without a remainder.

1, 7, 9433

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66024 and 66031. The biggest common factor number is the GCF number.
So the greatest common factor 66024 and 66031 is 7.

Also check out the Least Common Multiple of 66024 and 66031