What is the Greatest Common Factor of 70251 and 70269?

Greatest common factor (GCF) of 70251 and 70269 is 3.

GCF(70251,70269) = 3

We will now calculate the prime factors of 70251 and 70269, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70251 and 70269.

How to find the GCF of 70251 and 70269?

We will first find the prime factorization of 70251 and 70269. After we will calculate the factors of 70251 and 70269 and find the biggest common factor number .

Step-1: Prime Factorization of 70251

Prime factors of 70251 are 3, 23417. Prime factorization of 70251 in exponential form is:

70251 = 3¹ × 23417¹

Step-2: Prime Factorization of 70269

Prime factors of 70269 are 3, 59, 397. Prime factorization of 70269 in exponential form is:

70269 = 3¹ × 59¹ × 397¹

Step-3: Factors of 70251

List of positive integer factors of 70251 that divides 70251 without a remainder.

1, 3, 23417

Step-4: Factors of 70269

List of positive integer factors of 70269 that divides 70251 without a remainder.

1, 3, 59, 177, 397, 1191, 23423

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70251 and 70269. The biggest common factor number is the GCF number.
So the greatest common factor 70251 and 70269 is 3.

Also check out the Least Common Multiple of 70251 and 70269