What is the Greatest Common Factor of 19640 and 19650?

Greatest common factor (GCF) of 19640 and 19650 is 10.

GCF(19640,19650) = 10

We will now calculate the prime factors of 19640 and 19650, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19640 and 19650.

How to find the GCF of 19640 and 19650?

We will first find the prime factorization of 19640 and 19650. After we will calculate the factors of 19640 and 19650 and find the biggest common factor number .

Step-1: Prime Factorization of 19640

Prime factors of 19640 are 2, 5, 491. Prime factorization of 19640 in exponential form is:

19640 = 2³ × 5¹ × 491¹

Step-2: Prime Factorization of 19650

Prime factors of 19650 are 2, 3, 5, 131. Prime factorization of 19650 in exponential form is:

19650 = 2¹ × 3¹ × 5² × 131¹

Step-3: Factors of 19640

List of positive integer factors of 19640 that divides 19640 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 491, 982, 1964, 2455, 3928, 4910, 9820

Step-4: Factors of 19650

List of positive integer factors of 19650 that divides 19640 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 131, 150, 262, 393, 655, 786, 1310, 1965, 3275, 3930, 6550, 9825

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19640 and 19650. The biggest common factor number is the GCF number.
So the greatest common factor 19640 and 19650 is 10.

Also check out the Least Common Multiple of 19640 and 19650