What is the Greatest Common Factor of 20984 and 21002?

Greatest common factor (GCF) of 20984 and 21002 is 2.

GCF(20984,21002) = 2

We will now calculate the prime factors of 20984 and 21002, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20984 and 21002.

How to find the GCF of 20984 and 21002?

We will first find the prime factorization of 20984 and 21002. After we will calculate the factors of 20984 and 21002 and find the biggest common factor number .

Step-1: Prime Factorization of 20984

Prime factors of 20984 are 2, 43, 61. Prime factorization of 20984 in exponential form is:

20984 = 2³ × 43¹ × 61¹

Step-2: Prime Factorization of 21002

Prime factors of 21002 are 2, 10501. Prime factorization of 21002 in exponential form is:

21002 = 2¹ × 10501¹

Step-3: Factors of 20984

List of positive integer factors of 20984 that divides 20984 without a remainder.

1, 2, 4, 8, 43, 61, 86, 122, 172, 244, 344, 488, 2623, 5246, 10492

Step-4: Factors of 21002

List of positive integer factors of 21002 that divides 20984 without a remainder.

1, 2, 10501

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20984 and 21002. The biggest common factor number is the GCF number.
So the greatest common factor 20984 and 21002 is 2.

Also check out the Least Common Multiple of 20984 and 21002