What is the Greatest Common Factor of 20234 and 20252?

Greatest common factor (GCF) of 20234 and 20252 is 2.

GCF(20234,20252) = 2

We will now calculate the prime factors of 20234 and 20252, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20234 and 20252.

How to find the GCF of 20234 and 20252?

We will first find the prime factorization of 20234 and 20252. After we will calculate the factors of 20234 and 20252 and find the biggest common factor number .

Step-1: Prime Factorization of 20234

Prime factors of 20234 are 2, 67, 151. Prime factorization of 20234 in exponential form is:

20234 = 2¹ × 67¹ × 151¹

Step-2: Prime Factorization of 20252

Prime factors of 20252 are 2, 61, 83. Prime factorization of 20252 in exponential form is:

20252 = 2² × 61¹ × 83¹

Step-3: Factors of 20234

List of positive integer factors of 20234 that divides 20234 without a remainder.

1, 2, 67, 134, 151, 302, 10117

Step-4: Factors of 20252

List of positive integer factors of 20252 that divides 20234 without a remainder.

1, 2, 4, 61, 83, 122, 166, 244, 332, 5063, 10126

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20234 and 20252. The biggest common factor number is the GCF number.
So the greatest common factor 20234 and 20252 is 2.

Also check out the Least Common Multiple of 20234 and 20252