What is the Greatest Common Factor of 35638 and 35650?

Greatest common factor (GCF) of 35638 and 35650 is 2.

GCF(35638,35650) = 2

We will now calculate the prime factors of 35638 and 35650, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35638 and 35650.

How to find the GCF of 35638 and 35650?

We will first find the prime factorization of 35638 and 35650. After we will calculate the factors of 35638 and 35650 and find the biggest common factor number .

Step-1: Prime Factorization of 35638

Prime factors of 35638 are 2, 103, 173. Prime factorization of 35638 in exponential form is:

35638 = 2¹ × 103¹ × 173¹

Step-2: Prime Factorization of 35650

Prime factors of 35650 are 2, 5, 23, 31. Prime factorization of 35650 in exponential form is:

35650 = 2¹ × 5² × 23¹ × 31¹

Step-3: Factors of 35638

List of positive integer factors of 35638 that divides 35638 without a remainder.

1, 2, 103, 173, 206, 346, 17819

Step-4: Factors of 35650

List of positive integer factors of 35650 that divides 35638 without a remainder.

1, 2, 5, 10, 23, 25, 31, 46, 50, 62, 115, 155, 230, 310, 575, 713, 775, 1150, 1426, 1550, 3565, 7130, 17825

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35638 and 35650. The biggest common factor number is the GCF number.
So the greatest common factor 35638 and 35650 is 2.

Also check out the Least Common Multiple of 35638 and 35650