What is the Greatest Common Factor of 70252 and 70259?

Greatest common factor (GCF) of 70252 and 70259 is 7.

GCF(70252,70259) = 7

We will now calculate the prime factors of 70252 and 70259, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70252 and 70259.

How to find the GCF of 70252 and 70259?

We will first find the prime factorization of 70252 and 70259. After we will calculate the factors of 70252 and 70259 and find the biggest common factor number .

Step-1: Prime Factorization of 70252

Prime factors of 70252 are 2, 7, 13, 193. Prime factorization of 70252 in exponential form is:

70252 = 2² × 7¹ × 13¹ × 193¹

Step-2: Prime Factorization of 70259

Prime factors of 70259 are 7, 10037. Prime factorization of 70259 in exponential form is:

70259 = 7¹ × 10037¹

Step-3: Factors of 70252

List of positive integer factors of 70252 that divides 70252 without a remainder.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 193, 364, 386, 772, 1351, 2509, 2702, 5018, 5404, 10036, 17563, 35126

Step-4: Factors of 70259

List of positive integer factors of 70259 that divides 70252 without a remainder.

1, 7, 10037

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70252 and 70259. The biggest common factor number is the GCF number.
So the greatest common factor 70252 and 70259 is 7.

Also check out the Least Common Multiple of 70252 and 70259