What is the Greatest Common Factor of 69144 and 69154?

Greatest common factor (GCF) of 69144 and 69154 is 2.

GCF(69144,69154) = 2

We will now calculate the prime factors of 69144 and 69154, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69144 and 69154.

How to find the GCF of 69144 and 69154?

We will first find the prime factorization of 69144 and 69154. After we will calculate the factors of 69144 and 69154 and find the biggest common factor number .

Step-1: Prime Factorization of 69144

Prime factors of 69144 are 2, 3, 43, 67. Prime factorization of 69144 in exponential form is:

69144 = 2³ × 3¹ × 43¹ × 67¹

Step-2: Prime Factorization of 69154

Prime factors of 69154 are 2, 71, 487. Prime factorization of 69154 in exponential form is:

69154 = 2¹ × 71¹ × 487¹

Step-3: Factors of 69144

List of positive integer factors of 69144 that divides 69144 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 43, 67, 86, 129, 134, 172, 201, 258, 268, 344, 402, 516, 536, 804, 1032, 1608, 2881, 5762, 8643, 11524, 17286, 23048, 34572

Step-4: Factors of 69154

List of positive integer factors of 69154 that divides 69144 without a remainder.

1, 2, 71, 142, 487, 974, 34577

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69144 and 69154. The biggest common factor number is the GCF number.
So the greatest common factor 69144 and 69154 is 2.

Also check out the Least Common Multiple of 69144 and 69154