What is the Greatest Common Factor of 47406 and 47412?

Greatest common factor (GCF) of 47406 and 47412 is 6.

GCF(47406,47412) = 6

We will now calculate the prime factors of 47406 and 47412, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47406 and 47412.

How to find the GCF of 47406 and 47412?

We will first find the prime factorization of 47406 and 47412. After we will calculate the factors of 47406 and 47412 and find the biggest common factor number .

Step-1: Prime Factorization of 47406

Prime factors of 47406 are 2, 3, 7901. Prime factorization of 47406 in exponential form is:

47406 = 2¹ × 3¹ × 7901¹

Step-2: Prime Factorization of 47412

Prime factors of 47412 are 2, 3, 439. Prime factorization of 47412 in exponential form is:

47412 = 2² × 3³ × 439¹

Step-3: Factors of 47406

List of positive integer factors of 47406 that divides 47406 without a remainder.

1, 2, 3, 6, 7901, 15802, 23703

Step-4: Factors of 47412

List of positive integer factors of 47412 that divides 47406 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108, 439, 878, 1317, 1756, 2634, 3951, 5268, 7902, 11853, 15804, 23706

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47406 and 47412. The biggest common factor number is the GCF number.
So the greatest common factor 47406 and 47412 is 6.

Also check out the Least Common Multiple of 47406 and 47412