What is the Greatest Common Factor of 70274 and 70287?

Greatest common factor (GCF) of 70274 and 70287 is 1.

GCF(70274,70287) = 1

We will now calculate the prime factors of 70274 and 70287, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70274 and 70287.

How to find the GCF of 70274 and 70287?

We will first find the prime factorization of 70274 and 70287. After we will calculate the factors of 70274 and 70287 and find the biggest common factor number .

Step-1: Prime Factorization of 70274

Prime factors of 70274 are 2, 41, 857. Prime factorization of 70274 in exponential form is:

70274 = 2¹ × 41¹ × 857¹

Step-2: Prime Factorization of 70287

Prime factors of 70287 are 3, 7, 3347. Prime factorization of 70287 in exponential form is:

70287 = 3¹ × 7¹ × 3347¹

Step-3: Factors of 70274

List of positive integer factors of 70274 that divides 70274 without a remainder.

1, 2, 41, 82, 857, 1714, 35137

Step-4: Factors of 70287

List of positive integer factors of 70287 that divides 70274 without a remainder.

1, 3, 7, 21, 3347, 10041, 23429

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70274 and 70287. The biggest common factor number is the GCF number.
So the greatest common factor 70274 and 70287 is 1.

Also check out the Least Common Multiple of 70274 and 70287