What is the Greatest Common Factor of 70252 and 70256?

Greatest common factor (GCF) of 70252 and 70256 is 4.

GCF(70252,70256) = 4

We will now calculate the prime factors of 70252 and 70256, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70252 and 70256.

How to find the GCF of 70252 and 70256?

We will first find the prime factorization of 70252 and 70256. After we will calculate the factors of 70252 and 70256 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 70256

Prime factors of 70256 are 2, 4391. Prime factorization of 70256 in exponential form is:

70256 = 2⁴ × 4391¹

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 70256

List of positive integer factors of 70256 that divides 70252 without a remainder.

1, 2, 4, 8, 16, 4391, 8782, 17564, 35128

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70252 and 70256. The biggest common factor number is the GCF number.
So the greatest common factor 70252 and 70256 is 4.

Also check out the Least Common Multiple of 70252 and 70256