What is the Greatest Common Factor of 50522 and 50532?

Greatest common factor (GCF) of 50522 and 50532 is 2.

GCF(50522,50532) = 2

We will now calculate the prime factors of 50522 and 50532, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50522 and 50532.

How to find the GCF of 50522 and 50532?

We will first find the prime factorization of 50522 and 50532. After we will calculate the factors of 50522 and 50532 and find the biggest common factor number .

Step-1: Prime Factorization of 50522

Prime factors of 50522 are 2, 25261. Prime factorization of 50522 in exponential form is:

50522 = 2¹ × 25261¹

Step-2: Prime Factorization of 50532

Prime factors of 50532 are 2, 3, 4211. Prime factorization of 50532 in exponential form is:

50532 = 2² × 3¹ × 4211¹

Step-3: Factors of 50522

List of positive integer factors of 50522 that divides 50522 without a remainder.

1, 2, 25261

Step-4: Factors of 50532

List of positive integer factors of 50532 that divides 50522 without a remainder.

1, 2, 3, 4, 6, 12, 4211, 8422, 12633, 16844, 25266

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50522 and 50532. The biggest common factor number is the GCF number.
So the greatest common factor 50522 and 50532 is 2.

Also check out the Least Common Multiple of 50522 and 50532