What is the Greatest Common Factor of 19650 and 19660?

Greatest common factor (GCF) of 19650 and 19660 is 10.

GCF(19650,19660) = 10

We will now calculate the prime factors of 19650 and 19660, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19650 and 19660.

How to find the GCF of 19650 and 19660?

We will first find the prime factorization of 19650 and 19660. After we will calculate the factors of 19650 and 19660 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 19660

Prime factors of 19660 are 2, 5, 983. Prime factorization of 19660 in exponential form is:

19660 = 2² × 5¹ × 983¹

Step-3: Factors of 19650

List of positive integer factors of 19650 that divides 19650 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

Step-4: Factors of 19660

List of positive integer factors of 19660 that divides 19650 without a remainder.

1, 2, 4, 5, 10, 20, 983, 1966, 3932, 4915, 9830

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19650 and 19660. The biggest common factor number is the GCF number.
So the greatest common factor 19650 and 19660 is 10.

Also check out the Least Common Multiple of 19650 and 19660