What is the Greatest Common Factor of 70242 and 70254?

Greatest common factor (GCF) of 70242 and 70254 is 6.

GCF(70242,70254) = 6

We will now calculate the prime factors of 70242 and 70254, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70242 and 70254.

How to find the GCF of 70242 and 70254?

We will first find the prime factorization of 70242 and 70254. After we will calculate the factors of 70242 and 70254 and find the biggest common factor number .

Step-1: Prime Factorization of 70242

Prime factors of 70242 are 2, 3, 23, 509. Prime factorization of 70242 in exponential form is:

70242 = 2¹ × 3¹ × 23¹ × 509¹

Step-2: Prime Factorization of 70254

Prime factors of 70254 are 2, 3, 1301. Prime factorization of 70254 in exponential form is:

70254 = 2¹ × 3³ × 1301¹

Step-3: Factors of 70242

List of positive integer factors of 70242 that divides 70242 without a remainder.

1, 2, 3, 6, 23, 46, 69, 138, 509, 1018, 1527, 3054, 11707, 23414, 35121

Step-4: Factors of 70254

List of positive integer factors of 70254 that divides 70242 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 1301, 2602, 3903, 7806, 11709, 23418, 35127

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70242 and 70254. The biggest common factor number is the GCF number.
So the greatest common factor 70242 and 70254 is 6.

Also check out the Least Common Multiple of 70242 and 70254