What is the Greatest Common Factor of 69132 and 69141?

Greatest common factor (GCF) of 69132 and 69141 is 3.

GCF(69132,69141) = 3

We will now calculate the prime factors of 69132 and 69141, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69132 and 69141.

How to find the GCF of 69132 and 69141?

We will first find the prime factorization of 69132 and 69141. After we will calculate the factors of 69132 and 69141 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 69141

Prime factors of 69141 are 3, 19, 1213. Prime factorization of 69141 in exponential form is:

69141 = 3¹ × 19¹ × 1213¹

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 69141

List of positive integer factors of 69141 that divides 69132 without a remainder.

1, 3, 19, 57, 1213, 3639, 23047

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69132 and 69141. The biggest common factor number is the GCF number.
So the greatest common factor 69132 and 69141 is 3.

Also check out the Least Common Multiple of 69132 and 69141