What is the Greatest Common Factor of 70250 and 70270?

Greatest common factor (GCF) of 70250 and 70270 is 10.

GCF(70250,70270) = 10

We will now calculate the prime factors of 70250 and 70270, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70250 and 70270.

How to find the GCF of 70250 and 70270?

We will first find the prime factorization of 70250 and 70270. After we will calculate the factors of 70250 and 70270 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 70270

Prime factors of 70270 are 2, 5, 7027. Prime factorization of 70270 in exponential form is:

70270 = 2¹ × 5¹ × 7027¹

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 70270

List of positive integer factors of 70270 that divides 70250 without a remainder.

1, 2, 5, 10, 7027, 14054, 35135

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70250 and 70270. The biggest common factor number is the GCF number.
So the greatest common factor 70250 and 70270 is 10.

Also check out the Least Common Multiple of 70250 and 70270