What is the Greatest Common Factor of 78470 and 78489?

Greatest common factor (GCF) of 78470 and 78489 is 19.

GCF(78470,78489) = 19

We will now calculate the prime factors of 78470 and 78489, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78470 and 78489.

How to find the GCF of 78470 and 78489?

We will first find the prime factorization of 78470 and 78489. After we will calculate the factors of 78470 and 78489 and find the biggest common factor number .

Step-1: Prime Factorization of 78470

Prime factors of 78470 are 2, 5, 7, 19, 59. Prime factorization of 78470 in exponential form is:

78470 = 2¹ × 5¹ × 7¹ × 19¹ × 59¹

Step-2: Prime Factorization of 78489

Prime factors of 78489 are 3, 17, 19. Prime factorization of 78489 in exponential form is:

78489 = 3⁵ × 17¹ × 19¹

Step-3: Factors of 78470

List of positive integer factors of 78470 that divides 78470 without a remainder.

1, 2, 5, 7, 10, 14, 19, 35, 38, 59, 70, 95, 118, 133, 190, 266, 295, 413, 590, 665, 826, 1121, 1330, 2065, 2242, 4130, 5605, 7847, 11210, 15694, 39235

Step-4: Factors of 78489

List of positive integer factors of 78489 that divides 78470 without a remainder.

1, 3, 9, 17, 19, 27, 51, 57, 81, 153, 171, 243, 323, 459, 513, 969, 1377, 1539, 2907, 4131, 4617, 8721, 26163

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78470 and 78489. The biggest common factor number is the GCF number.
So the greatest common factor 78470 and 78489 is 19.

Also check out the Least Common Multiple of 78470 and 78489