What is the Greatest Common Factor of 69638 and 69650?

Greatest common factor (GCF) of 69638 and 69650 is 2.

GCF(69638,69650) = 2

We will now calculate the prime factors of 69638 and 69650, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69638 and 69650.

How to find the GCF of 69638 and 69650?

We will first find the prime factorization of 69638 and 69650. After we will calculate the factors of 69638 and 69650 and find the biggest common factor number .

Step-1: Prime Factorization of 69638

Prime factors of 69638 are 2, 34819. Prime factorization of 69638 in exponential form is:

69638 = 2¹ × 34819¹

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 69638

List of positive integer factors of 69638 that divides 69638 without a remainder.

1, 2, 34819

Step-4: Factors of 69650

List of positive integer factors of 69650 that divides 69638 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 69638 and 69650. The biggest common factor number is the GCF number.
So the greatest common factor 69638 and 69650 is 2.

Also check out the Least Common Multiple of 69638 and 69650