What is the Greatest Common Factor of 70252 and 70271?

Greatest common factor (GCF) of 70252 and 70271 is 1.

GCF(70252,70271) = 1

We will now calculate the prime factors of 70252 and 70271, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70252 and 70271.

How to find the GCF of 70252 and 70271?

We will first find the prime factorization of 70252 and 70271. After we will calculate the factors of 70252 and 70271 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 70271

Prime factors of 70271 are 70271. Prime factorization of 70271 in exponential form is:

70271 = 70271¹

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 70271

List of positive integer factors of 70271 that divides 70252 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70252 and 70271. The biggest common factor number is the GCF number.
So the greatest common factor 70252 and 70271 is 1.

Also check out the Least Common Multiple of 70252 and 70271