What is the Greatest Common Factor of 69132 and 69152?

Greatest common factor (GCF) of 69132 and 69152 is 4.

GCF(69132,69152) = 4

We will now calculate the prime factors of 69132 and 69152, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69132 and 69152.

How to find the GCF of 69132 and 69152?

We will first find the prime factorization of 69132 and 69152. After we will calculate the factors of 69132 and 69152 and find the biggest common factor number .

Step-1: Prime Factorization of 69132

Prime factors of 69132 are 2, 3, 7, 823. Prime factorization of 69132 in exponential form is:

69132 = 2² × 3¹ × 7¹ × 823¹

Step-2: Prime Factorization of 69152

Prime factors of 69152 are 2, 2161. Prime factorization of 69152 in exponential form is:

69152 = 2⁵ × 2161¹

Step-3: Factors of 69132

List of positive integer factors of 69132 that divides 69132 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 823, 1646, 2469, 3292, 4938, 5761, 9876, 11522, 17283, 23044, 34566

Step-4: Factors of 69152

List of positive integer factors of 69152 that divides 69132 without a remainder.

1, 2, 4, 8, 16, 32, 2161, 4322, 8644, 17288, 34576

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69132 and 69152. The biggest common factor number is the GCF number.
So the greatest common factor 69132 and 69152 is 4.

Also check out the Least Common Multiple of 69132 and 69152