What is the Greatest Common Factor of 47436 and 47442?

Greatest common factor (GCF) of 47436 and 47442 is 6.

GCF(47436,47442) = 6

We will now calculate the prime factors of 47436 and 47442, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47436 and 47442.

How to find the GCF of 47436 and 47442?

We will first find the prime factorization of 47436 and 47442. After we will calculate the factors of 47436 and 47442 and find the biggest common factor number .

Step-1: Prime Factorization of 47436

Prime factors of 47436 are 2, 3, 59, 67. Prime factorization of 47436 in exponential form is:

47436 = 2² × 3¹ × 59¹ × 67¹

Step-2: Prime Factorization of 47442

Prime factors of 47442 are 2, 3, 7907. Prime factorization of 47442 in exponential form is:

47442 = 2¹ × 3¹ × 7907¹

Step-3: Factors of 47436

List of positive integer factors of 47436 that divides 47436 without a remainder.

1, 2, 3, 4, 6, 12, 59, 67, 118, 134, 177, 201, 236, 268, 354, 402, 708, 804, 3953, 7906, 11859, 15812, 23718

Step-4: Factors of 47442

List of positive integer factors of 47442 that divides 47436 without a remainder.

1, 2, 3, 6, 7907, 15814, 23721

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47436 and 47442. The biggest common factor number is the GCF number.
So the greatest common factor 47436 and 47442 is 6.

Also check out the Least Common Multiple of 47436 and 47442