What is the Greatest Common Factor of 70235 and 70250?

Greatest common factor (GCF) of 70235 and 70250 is 5.

GCF(70235,70250) = 5

We will now calculate the prime factors of 70235 and 70250, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70235 and 70250.

How to find the GCF of 70235 and 70250?

We will first find the prime factorization of 70235 and 70250. After we will calculate the factors of 70235 and 70250 and find the biggest common factor number .

Step-1: Prime Factorization of 70235

Prime factors of 70235 are 5, 11, 1277. Prime factorization of 70235 in exponential form is:

70235 = 5¹ × 11¹ × 1277¹

Step-2: 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-3: Factors of 70235

List of positive integer factors of 70235 that divides 70235 without a remainder.

1, 5, 11, 55, 1277, 6385, 14047

Step-4: Factors of 70250

List of positive integer factors of 70250 that divides 70235 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70235 and 70250. The biggest common factor number is the GCF number.
So the greatest common factor 70235 and 70250 is 5.

Also check out the Least Common Multiple of 70235 and 70250