What is the Greatest Common Factor of 20964 and 20984?

Greatest common factor (GCF) of 20964 and 20984 is 4.

GCF(20964,20984) = 4

We will now calculate the prime factors of 20964 and 20984, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20964 and 20984.

How to find the GCF of 20964 and 20984?

We will first find the prime factorization of 20964 and 20984. After we will calculate the factors of 20964 and 20984 and find the biggest common factor number .

Step-1: Prime Factorization of 20964

Prime factors of 20964 are 2, 3, 1747. Prime factorization of 20964 in exponential form is:

20964 = 2² × 3¹ × 1747¹

Step-2: 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-3: Factors of 20964

List of positive integer factors of 20964 that divides 20964 without a remainder.

1, 2, 3, 4, 6, 12, 1747, 3494, 5241, 6988, 10482

Step-4: Factors of 20984

List of positive integer factors of 20984 that divides 20964 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20964 and 20984. The biggest common factor number is the GCF number.
So the greatest common factor 20964 and 20984 is 4.

Also check out the Least Common Multiple of 20964 and 20984