What is the Greatest Common Factor of 69672 and 69690?

Greatest common factor (GCF) of 69672 and 69690 is 6.

GCF(69672,69690) = 6

We will now calculate the prime factors of 69672 and 69690, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69672 and 69690.

How to find the GCF of 69672 and 69690?

We will first find the prime factorization of 69672 and 69690. After we will calculate the factors of 69672 and 69690 and find the biggest common factor number .

Step-1: Prime Factorization of 69672

Prime factors of 69672 are 2, 3, 2903. Prime factorization of 69672 in exponential form is:

69672 = 2³ × 3¹ × 2903¹

Step-2: Prime Factorization of 69690

Prime factors of 69690 are 2, 3, 5, 23, 101. Prime factorization of 69690 in exponential form is:

69690 = 2¹ × 3¹ × 5¹ × 23¹ × 101¹

Step-3: Factors of 69672

List of positive integer factors of 69672 that divides 69672 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 2903, 5806, 8709, 11612, 17418, 23224, 34836

Step-4: Factors of 69690

List of positive integer factors of 69690 that divides 69672 without a remainder.

1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 101, 115, 138, 202, 230, 303, 345, 505, 606, 690, 1010, 1515, 2323, 3030, 4646, 6969, 11615, 13938, 23230, 34845

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69672 and 69690. The biggest common factor number is the GCF number.
So the greatest common factor 69672 and 69690 is 6.

Also check out the Least Common Multiple of 69672 and 69690