What is the Greatest Common Factor of 70225 and 70235?

Greatest common factor (GCF) of 70225 and 70235 is 5.

GCF(70225,70235) = 5

We will now calculate the prime factors of 70225 and 70235, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70225 and 70235.

How to find the GCF of 70225 and 70235?

We will first find the prime factorization of 70225 and 70235. After we will calculate the factors of 70225 and 70235 and find the biggest common factor number .

Step-1: Prime Factorization of 70225

Prime factors of 70225 are 5, 53. Prime factorization of 70225 in exponential form is:

70225 = 5² × 53²

Step-2: 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-3: Factors of 70225

List of positive integer factors of 70225 that divides 70225 without a remainder.

1, 5, 25, 53, 265, 1325, 2809, 14045

Step-4: Factors of 70235

List of positive integer factors of 70235 that divides 70225 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70225 and 70235. The biggest common factor number is the GCF number.
So the greatest common factor 70225 and 70235 is 5.

Also check out the Least Common Multiple of 70225 and 70235