What is the Greatest Common Factor of 20492 and 20496?

Greatest common factor (GCF) of 20492 and 20496 is 4.

GCF(20492,20496) = 4

We will now calculate the prime factors of 20492 and 20496, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20492 and 20496.

How to find the GCF of 20492 and 20496?

We will first find the prime factorization of 20492 and 20496. After we will calculate the factors of 20492 and 20496 and find the biggest common factor number .

Step-1: Prime Factorization of 20492

Prime factors of 20492 are 2, 47, 109. Prime factorization of 20492 in exponential form is:

20492 = 2² × 47¹ × 109¹

Step-2: Prime Factorization of 20496

Prime factors of 20496 are 2, 3, 7, 61. Prime factorization of 20496 in exponential form is:

20496 = 2⁴ × 3¹ × 7¹ × 61¹

Step-3: Factors of 20492

List of positive integer factors of 20492 that divides 20492 without a remainder.

1, 2, 4, 47, 94, 109, 188, 218, 436, 5123, 10246

Step-4: Factors of 20496

List of positive integer factors of 20496 that divides 20492 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 61, 84, 112, 122, 168, 183, 244, 336, 366, 427, 488, 732, 854, 976, 1281, 1464, 1708, 2562, 2928, 3416, 5124, 6832, 10248

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20492 and 20496. The biggest common factor number is the GCF number.
So the greatest common factor 20492 and 20496 is 4.

Also check out the Least Common Multiple of 20492 and 20496