What is the Greatest Common Factor of 75228 and 75242?

Greatest common factor (GCF) of 75228 and 75242 is 2.

GCF(75228,75242) = 2

We will now calculate the prime factors of 75228 and 75242, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75228 and 75242.

How to find the GCF of 75228 and 75242?

We will first find the prime factorization of 75228 and 75242. After we will calculate the factors of 75228 and 75242 and find the biggest common factor number .

Step-1: Prime Factorization of 75228

Prime factors of 75228 are 2, 3, 6269. Prime factorization of 75228 in exponential form is:

75228 = 2² × 3¹ × 6269¹

Step-2: Prime Factorization of 75242

Prime factors of 75242 are 2, 17, 2213. Prime factorization of 75242 in exponential form is:

75242 = 2¹ × 17¹ × 2213¹

Step-3: Factors of 75228

List of positive integer factors of 75228 that divides 75228 without a remainder.

1, 2, 3, 4, 6, 12, 6269, 12538, 18807, 25076, 37614

Step-4: Factors of 75242

List of positive integer factors of 75242 that divides 75228 without a remainder.

1, 2, 17, 34, 2213, 4426, 37621

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75228 and 75242. The biggest common factor number is the GCF number.
So the greatest common factor 75228 and 75242 is 2.

Also check out the Least Common Multiple of 75228 and 75242