What is the Greatest Common Factor of 75153 and 75162?

Greatest common factor (GCF) of 75153 and 75162 is 3.

GCF(75153,75162) = 3

We will now calculate the prime factors of 75153 and 75162, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75153 and 75162.

How to find the GCF of 75153 and 75162?

We will first find the prime factorization of 75153 and 75162. After we will calculate the factors of 75153 and 75162 and find the biggest common factor number .

Step-1: Prime Factorization of 75153

Prime factors of 75153 are 3, 13, 41, 47. Prime factorization of 75153 in exponential form is:

75153 = 3¹ × 13¹ × 41¹ × 47¹

Step-2: Prime Factorization of 75162

Prime factors of 75162 are 2, 3, 12527. Prime factorization of 75162 in exponential form is:

75162 = 2¹ × 3¹ × 12527¹

Step-3: Factors of 75153

List of positive integer factors of 75153 that divides 75153 without a remainder.

1, 3, 13, 39, 41, 47, 123, 141, 533, 611, 1599, 1833, 1927, 5781, 25051

Step-4: Factors of 75162

List of positive integer factors of 75162 that divides 75153 without a remainder.

1, 2, 3, 6, 12527, 25054, 37581

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75153 and 75162. The biggest common factor number is the GCF number.
So the greatest common factor 75153 and 75162 is 3.

Also check out the Least Common Multiple of 75153 and 75162