What is the Greatest Common Factor of 75213 and 75228?

Greatest common factor (GCF) of 75213 and 75228 is 3.

GCF(75213,75228) = 3

We will now calculate the prime factors of 75213 and 75228, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75213 and 75228.

How to find the GCF of 75213 and 75228?

We will first find the prime factorization of 75213 and 75228. After we will calculate the factors of 75213 and 75228 and find the biggest common factor number .

Step-1: Prime Factorization of 75213

Prime factors of 75213 are 3, 61, 137. Prime factorization of 75213 in exponential form is:

75213 = 3² × 61¹ × 137¹

Step-2: 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-3: Factors of 75213

List of positive integer factors of 75213 that divides 75213 without a remainder.

1, 3, 9, 61, 137, 183, 411, 549, 1233, 8357, 25071

Step-4: Factors of 75228

List of positive integer factors of 75228 that divides 75213 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75213 and 75228. The biggest common factor number is the GCF number.
So the greatest common factor 75213 and 75228 is 3.

Also check out the Least Common Multiple of 75213 and 75228