What is the Greatest Common Factor of 78470 and 78475?

Greatest common factor (GCF) of 78470 and 78475 is 5.

GCF(78470,78475) = 5

We will now calculate the prime factors of 78470 and 78475, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78470 and 78475.

How to find the GCF of 78470 and 78475?

We will first find the prime factorization of 78470 and 78475. After we will calculate the factors of 78470 and 78475 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 78475

Prime factors of 78475 are 5, 43, 73. Prime factorization of 78475 in exponential form is:

78475 = 5² × 43¹ × 73¹

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 78475

List of positive integer factors of 78475 that divides 78470 without a remainder.

1, 5, 25, 43, 73, 215, 365, 1075, 1825, 3139, 15695

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78470 and 78475. The biggest common factor number is the GCF number.
So the greatest common factor 78470 and 78475 is 5.

Also check out the Least Common Multiple of 78470 and 78475