What is the Greatest Common Factor of 69636 and 69650?

Greatest common factor (GCF) of 69636 and 69650 is 14.

GCF(69636,69650) = 14

We will now calculate the prime factors of 69636 and 69650, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69636 and 69650.

How to find the GCF of 69636 and 69650?

We will first find the prime factorization of 69636 and 69650. After we will calculate the factors of 69636 and 69650 and find the biggest common factor number .

Step-1: Prime Factorization of 69636

Prime factors of 69636 are 2, 3, 7, 829. Prime factorization of 69636 in exponential form is:

69636 = 2² × 3¹ × 7¹ × 829¹

Step-2: Prime Factorization of 69650

Prime factors of 69650 are 2, 5, 7, 199. Prime factorization of 69650 in exponential form is:

69650 = 2¹ × 5² × 7¹ × 199¹

Step-3: Factors of 69636

List of positive integer factors of 69636 that divides 69636 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 829, 1658, 2487, 3316, 4974, 5803, 9948, 11606, 17409, 23212, 34818

Step-4: Factors of 69650

List of positive integer factors of 69650 that divides 69636 without a remainder.

1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 199, 350, 398, 995, 1393, 1990, 2786, 4975, 6965, 9950, 13930, 34825

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69636 and 69650. The biggest common factor number is the GCF number.
So the greatest common factor 69636 and 69650 is 14.

Also check out the Least Common Multiple of 69636 and 69650