What is the Greatest Common Factor of 69012 and 69021?

Greatest common factor (GCF) of 69012 and 69021 is 9.

GCF(69012,69021) = 9

We will now calculate the prime factors of 69012 and 69021, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69012 and 69021.

How to find the GCF of 69012 and 69021?

We will first find the prime factorization of 69012 and 69021. After we will calculate the factors of 69012 and 69021 and find the biggest common factor number .

Step-1: Prime Factorization of 69012

Prime factors of 69012 are 2, 3, 71. Prime factorization of 69012 in exponential form is:

69012 = 2² × 3⁵ × 71¹

Step-2: Prime Factorization of 69021

Prime factors of 69021 are 3, 7669. Prime factorization of 69021 in exponential form is:

69021 = 3² × 7669¹

Step-3: Factors of 69012

List of positive integer factors of 69012 that divides 69012 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 71, 81, 108, 142, 162, 213, 243, 284, 324, 426, 486, 639, 852, 972, 1278, 1917, 2556, 3834, 5751, 7668, 11502, 17253, 23004, 34506

Step-4: Factors of 69021

List of positive integer factors of 69021 that divides 69012 without a remainder.

1, 3, 9, 7669, 23007

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69012 and 69021. The biggest common factor number is the GCF number.
So the greatest common factor 69012 and 69021 is 9.

Also check out the Least Common Multiple of 69012 and 69021