What is the Greatest Common Factor of 20002 and 20020?

Greatest common factor (GCF) of 20002 and 20020 is 2.

GCF(20002,20020) = 2

We will now calculate the prime factors of 20002 and 20020, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20002 and 20020.

How to find the GCF of 20002 and 20020?

We will first find the prime factorization of 20002 and 20020. After we will calculate the factors of 20002 and 20020 and find the biggest common factor number .

Step-1: Prime Factorization of 20002

Prime factors of 20002 are 2, 73, 137. Prime factorization of 20002 in exponential form is:

20002 = 2¹ × 73¹ × 137¹

Step-2: Prime Factorization of 20020

Prime factors of 20020 are 2, 5, 7, 11, 13. Prime factorization of 20020 in exponential form is:

20020 = 2² × 5¹ × 7¹ × 11¹ × 13¹

Step-3: Factors of 20002

List of positive integer factors of 20002 that divides 20002 without a remainder.

1, 2, 73, 137, 146, 274, 10001

Step-4: Factors of 20020

List of positive integer factors of 20020 that divides 20002 without a remainder.

1, 2, 4, 5, 7, 10, 11, 13, 14, 20, 22, 26, 28, 35, 44, 52, 55, 65, 70, 77, 91, 110, 130, 140, 143, 154, 182, 220, 260, 286, 308, 364, 385, 455, 572, 715, 770, 910, 1001, 1430, 1540, 1820, 2002, 2860, 4004, 5005, 10010

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20002 and 20020. The biggest common factor number is the GCF number.
So the greatest common factor 20002 and 20020 is 2.

Also check out the Least Common Multiple of 20002 and 20020