What is the Greatest Common Factor of 70252 and 70262?

Greatest common factor (GCF) of 70252 and 70262 is 2.

GCF(70252,70262) = 2

We will now calculate the prime factors of 70252 and 70262, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70252 and 70262.

How to find the GCF of 70252 and 70262?

We will first find the prime factorization of 70252 and 70262. After we will calculate the factors of 70252 and 70262 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 70262

Prime factors of 70262 are 2, 19, 43. Prime factorization of 70262 in exponential form is:

70262 = 2¹ × 19¹ × 43²

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 70262

List of positive integer factors of 70262 that divides 70252 without a remainder.

1, 2, 19, 38, 43, 86, 817, 1634, 1849, 3698, 35131

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70252 and 70262. The biggest common factor number is the GCF number.
So the greatest common factor 70252 and 70262 is 2.

Also check out the Least Common Multiple of 70252 and 70262