What is the Greatest Common Factor of 70250 and 70255?

Greatest common factor (GCF) of 70250 and 70255 is 5.

GCF(70250,70255) = 5

We will now calculate the prime factors of 70250 and 70255, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70250 and 70255.

How to find the GCF of 70250 and 70255?

We will first find the prime factorization of 70250 and 70255. After we will calculate the factors of 70250 and 70255 and find the biggest common factor number .

Step-1: Prime Factorization of 70250

Prime factors of 70250 are 2, 5, 281. Prime factorization of 70250 in exponential form is:

70250 = 2¹ × 5³ × 281¹

Step-2: Prime Factorization of 70255

Prime factors of 70255 are 5, 14051. Prime factorization of 70255 in exponential form is:

70255 = 5¹ × 14051¹

Step-3: Factors of 70250

List of positive integer factors of 70250 that divides 70250 without a remainder.

1, 2, 5, 10, 25, 50, 125, 250, 281, 562, 1405, 2810, 7025, 14050, 35125

Step-4: Factors of 70255

List of positive integer factors of 70255 that divides 70250 without a remainder.

1, 5, 14051

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70250 and 70255. The biggest common factor number is the GCF number.
So the greatest common factor 70250 and 70255 is 5.

Also check out the Least Common Multiple of 70250 and 70255