What is the Greatest Common Factor of 40146 and 40152?

Greatest common factor (GCF) of 40146 and 40152 is 6.

GCF(40146,40152) = 6

We will now calculate the prime factors of 40146 and 40152, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40146 and 40152.

How to find the GCF of 40146 and 40152?

We will first find the prime factorization of 40146 and 40152. After we will calculate the factors of 40146 and 40152 and find the biggest common factor number .

Step-1: Prime Factorization of 40146

Prime factors of 40146 are 2, 3, 6691. Prime factorization of 40146 in exponential form is:

40146 = 2¹ × 3¹ × 6691¹

Step-2: Prime Factorization of 40152

Prime factors of 40152 are 2, 3, 7, 239. Prime factorization of 40152 in exponential form is:

40152 = 2³ × 3¹ × 7¹ × 239¹

Step-3: Factors of 40146

List of positive integer factors of 40146 that divides 40146 without a remainder.

1, 2, 3, 6, 6691, 13382, 20073

Step-4: Factors of 40152

List of positive integer factors of 40152 that divides 40146 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168, 239, 478, 717, 956, 1434, 1673, 1912, 2868, 3346, 5019, 5736, 6692, 10038, 13384, 20076

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40146 and 40152. The biggest common factor number is the GCF number.
So the greatest common factor 40146 and 40152 is 6.

Also check out the Least Common Multiple of 40146 and 40152