What is the Greatest Common Factor of 78490 and 78505?

Greatest common factor (GCF) of 78490 and 78505 is 5.

GCF(78490,78505) = 5

We will now calculate the prime factors of 78490 and 78505, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78490 and 78505.

How to find the GCF of 78490 and 78505?

We will first find the prime factorization of 78490 and 78505. After we will calculate the factors of 78490 and 78505 and find the biggest common factor number .

Step-1: Prime Factorization of 78490

Prime factors of 78490 are 2, 5, 47, 167. Prime factorization of 78490 in exponential form is:

78490 = 2¹ × 5¹ × 47¹ × 167¹

Step-2: Prime Factorization of 78505

Prime factors of 78505 are 5, 7, 2243. Prime factorization of 78505 in exponential form is:

78505 = 5¹ × 7¹ × 2243¹

Step-3: Factors of 78490

List of positive integer factors of 78490 that divides 78490 without a remainder.

1, 2, 5, 10, 47, 94, 167, 235, 334, 470, 835, 1670, 7849, 15698, 39245

Step-4: Factors of 78505

List of positive integer factors of 78505 that divides 78490 without a remainder.

1, 5, 7, 35, 2243, 11215, 15701

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78490 and 78505. The biggest common factor number is the GCF number.
So the greatest common factor 78490 and 78505 is 5.

Also check out the Least Common Multiple of 78490 and 78505