What is the Greatest Common Factor of 40152 and 40164?

Greatest common factor (GCF) of 40152 and 40164 is 12.

GCF(40152,40164) = 12

We will now calculate the prime factors of 40152 and 40164, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40152 and 40164.

How to find the GCF of 40152 and 40164?

We will first find the prime factorization of 40152 and 40164. After we will calculate the factors of 40152 and 40164 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 40164

Prime factors of 40164 are 2, 3, 3347. Prime factorization of 40164 in exponential form is:

40164 = 2² × 3¹ × 3347¹

Step-3: Factors of 40152

List of positive integer factors of 40152 that divides 40152 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

Step-4: Factors of 40164

List of positive integer factors of 40164 that divides 40152 without a remainder.

1, 2, 3, 4, 6, 12, 3347, 6694, 10041, 13388, 20082

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40152 and 40164. The biggest common factor number is the GCF number.
So the greatest common factor 40152 and 40164 is 12.

Also check out the Least Common Multiple of 40152 and 40164