What is the Greatest Common Factor of 70252 and 70266?

Greatest common factor (GCF) of 70252 and 70266 is 14.

GCF(70252,70266) = 14

We will now calculate the prime factors of 70252 and 70266, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70252 and 70266.

How to find the GCF of 70252 and 70266?

We will first find the prime factorization of 70252 and 70266. After we will calculate the factors of 70252 and 70266 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 70266

Prime factors of 70266 are 2, 3, 7, 239. Prime factorization of 70266 in exponential form is:

70266 = 2¹ × 3¹ × 7² × 239¹

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 70266

List of positive integer factors of 70266 that divides 70252 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 239, 294, 478, 717, 1434, 1673, 3346, 5019, 10038, 11711, 23422, 35133

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70252 and 70266. The biggest common factor number is the GCF number.
So the greatest common factor 70252 and 70266 is 14.

Also check out the Least Common Multiple of 70252 and 70266