What is the Greatest Common Factor of 40152 and 40166?

Greatest common factor (GCF) of 40152 and 40166 is 14.

GCF(40152,40166) = 14

We will now calculate the prime factors of 40152 and 40166, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40152 and 40166.

How to find the GCF of 40152 and 40166?

We will first find the prime factorization of 40152 and 40166. After we will calculate the factors of 40152 and 40166 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 40166

Prime factors of 40166 are 2, 7, 19, 151. Prime factorization of 40166 in exponential form is:

40166 = 2¹ × 7¹ × 19¹ × 151¹

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 40166

List of positive integer factors of 40166 that divides 40152 without a remainder.

1, 2, 7, 14, 19, 38, 133, 151, 266, 302, 1057, 2114, 2869, 5738, 20083

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40152 and 40166. The biggest common factor number is the GCF number.
So the greatest common factor 40152 and 40166 is 14.

Also check out the Least Common Multiple of 40152 and 40166