What is the Greatest Common Factor of 20524 and 20542?

Greatest common factor (GCF) of 20524 and 20542 is 2.

GCF(20524,20542) = 2

We will now calculate the prime factors of 20524 and 20542, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20524 and 20542.

How to find the GCF of 20524 and 20542?

We will first find the prime factorization of 20524 and 20542. After we will calculate the factors of 20524 and 20542 and find the biggest common factor number .

Step-1: Prime Factorization of 20524

Prime factors of 20524 are 2, 7, 733. Prime factorization of 20524 in exponential form is:

20524 = 2² × 7¹ × 733¹

Step-2: Prime Factorization of 20542

Prime factors of 20542 are 2, 10271. Prime factorization of 20542 in exponential form is:

20542 = 2¹ × 10271¹

Step-3: Factors of 20524

List of positive integer factors of 20524 that divides 20524 without a remainder.

1, 2, 4, 7, 14, 28, 733, 1466, 2932, 5131, 10262

Step-4: Factors of 20542

List of positive integer factors of 20542 that divides 20524 without a remainder.

1, 2, 10271

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20524 and 20542. The biggest common factor number is the GCF number.
So the greatest common factor 20524 and 20542 is 2.

Also check out the Least Common Multiple of 20524 and 20542