What is the Greatest Common Factor of 69138 and 69153?

Greatest common factor (GCF) of 69138 and 69153 is 3.

GCF(69138,69153) = 3

We will now calculate the prime factors of 69138 and 69153, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69138 and 69153.

How to find the GCF of 69138 and 69153?

We will first find the prime factorization of 69138 and 69153. After we will calculate the factors of 69138 and 69153 and find the biggest common factor number .

Step-1: Prime Factorization of 69138

Prime factors of 69138 are 2, 3, 23, 167. Prime factorization of 69138 in exponential form is:

69138 = 2¹ × 3² × 23¹ × 167¹

Step-2: Prime Factorization of 69153

Prime factors of 69153 are 3, 7, 37, 89. Prime factorization of 69153 in exponential form is:

69153 = 3¹ × 7¹ × 37¹ × 89¹

Step-3: Factors of 69138

List of positive integer factors of 69138 that divides 69138 without a remainder.

1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 167, 207, 334, 414, 501, 1002, 1503, 3006, 3841, 7682, 11523, 23046, 34569

Step-4: Factors of 69153

List of positive integer factors of 69153 that divides 69138 without a remainder.

1, 3, 7, 21, 37, 89, 111, 259, 267, 623, 777, 1869, 3293, 9879, 23051

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69138 and 69153. The biggest common factor number is the GCF number.
So the greatest common factor 69138 and 69153 is 3.

Also check out the Least Common Multiple of 69138 and 69153