What is the Greatest Common Factor of 69144 and 69148?

Greatest common factor (GCF) of 69144 and 69148 is 4.

GCF(69144,69148) = 4

We will now calculate the prime factors of 69144 and 69148, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69144 and 69148.

How to find the GCF of 69144 and 69148?

We will first find the prime factorization of 69144 and 69148. After we will calculate the factors of 69144 and 69148 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 69148

Prime factors of 69148 are 2, 59, 293. Prime factorization of 69148 in exponential form is:

69148 = 2² × 59¹ × 293¹

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 69148

List of positive integer factors of 69148 that divides 69144 without a remainder.

1, 2, 4, 59, 118, 236, 293, 586, 1172, 17287, 34574

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69144 and 69148. The biggest common factor number is the GCF number.
So the greatest common factor 69144 and 69148 is 4.

Also check out the Least Common Multiple of 69144 and 69148