What is the Greatest Common Factor of 47070 and 47088?

Greatest common factor (GCF) of 47070 and 47088 is 18.

GCF(47070,47088) = 18

We will now calculate the prime factors of 47070 and 47088, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47070 and 47088.

How to find the GCF of 47070 and 47088?

We will first find the prime factorization of 47070 and 47088. After we will calculate the factors of 47070 and 47088 and find the biggest common factor number .

Step-1: Prime Factorization of 47070

Prime factors of 47070 are 2, 3, 5, 523. Prime factorization of 47070 in exponential form is:

47070 = 2¹ × 3² × 5¹ × 523¹

Step-2: Prime Factorization of 47088

Prime factors of 47088 are 2, 3, 109. Prime factorization of 47088 in exponential form is:

47088 = 2⁴ × 3³ × 109¹

Step-3: Factors of 47070

List of positive integer factors of 47070 that divides 47070 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 523, 1046, 1569, 2615, 3138, 4707, 5230, 7845, 9414, 15690, 23535

Step-4: Factors of 47088

List of positive integer factors of 47088 that divides 47070 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 109, 144, 216, 218, 327, 432, 436, 654, 872, 981, 1308, 1744, 1962, 2616, 2943, 3924, 5232, 5886, 7848, 11772, 15696, 23544

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47070 and 47088. The biggest common factor number is the GCF number.
So the greatest common factor 47070 and 47088 is 18.

Also check out the Least Common Multiple of 47070 and 47088