What is the Greatest Common Factor of 40147 and 40152?

Greatest common factor (GCF) of 40147 and 40152 is 1.

GCF(40147,40152) = 1

We will now calculate the prime factors of 40147 and 40152, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40147 and 40152.

How to find the GCF of 40147 and 40152?

We will first find the prime factorization of 40147 and 40152. After we will calculate the factors of 40147 and 40152 and find the biggest common factor number .

Step-1: Prime Factorization of 40147

Prime factors of 40147 are 19, 2113. Prime factorization of 40147 in exponential form is:

40147 = 19¹ × 2113¹

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 40147

List of positive integer factors of 40147 that divides 40147 without a remainder.

1, 19, 2113

Step-4: Factors of 40152

List of positive integer factors of 40152 that divides 40147 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 40147 and 40152. The biggest common factor number is the GCF number.
So the greatest common factor 40147 and 40152 is 1.

Also check out the Least Common Multiple of 40147 and 40152