What is the Greatest Common Factor of 40470 and 40489?

Greatest common factor (GCF) of 40470 and 40489 is 19.

GCF(40470,40489) = 19

We will now calculate the prime factors of 40470 and 40489, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40470 and 40489.

How to find the GCF of 40470 and 40489?

We will first find the prime factorization of 40470 and 40489. After we will calculate the factors of 40470 and 40489 and find the biggest common factor number .

Step-1: Prime Factorization of 40470

Prime factors of 40470 are 2, 3, 5, 19, 71. Prime factorization of 40470 in exponential form is:

40470 = 2¹ × 3¹ × 5¹ × 19¹ × 71¹

Step-2: Prime Factorization of 40489

Prime factors of 40489 are 19, 2131. Prime factorization of 40489 in exponential form is:

40489 = 19¹ × 2131¹

Step-3: Factors of 40470

List of positive integer factors of 40470 that divides 40470 without a remainder.

1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 71, 95, 114, 142, 190, 213, 285, 355, 426, 570, 710, 1065, 1349, 2130, 2698, 4047, 6745, 8094, 13490, 20235

Step-4: Factors of 40489

List of positive integer factors of 40489 that divides 40470 without a remainder.

1, 19, 2131

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40470 and 40489. The biggest common factor number is the GCF number.
So the greatest common factor 40470 and 40489 is 19.

Also check out the Least Common Multiple of 40470 and 40489