What is the Greatest Common Factor of 50252 and 50262?

Greatest common factor (GCF) of 50252 and 50262 is 2.

GCF(50252,50262) = 2

We will now calculate the prime factors of 50252 and 50262, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50252 and 50262.

How to find the GCF of 50252 and 50262?

We will first find the prime factorization of 50252 and 50262. After we will calculate the factors of 50252 and 50262 and find the biggest common factor number .

Step-1: Prime Factorization of 50252

Prime factors of 50252 are 2, 17, 739. Prime factorization of 50252 in exponential form is:

50252 = 2² × 17¹ × 739¹

Step-2: Prime Factorization of 50262

Prime factors of 50262 are 2, 3, 8377. Prime factorization of 50262 in exponential form is:

50262 = 2¹ × 3¹ × 8377¹

Step-3: Factors of 50252

List of positive integer factors of 50252 that divides 50252 without a remainder.

1, 2, 4, 17, 34, 68, 739, 1478, 2956, 12563, 25126

Step-4: Factors of 50262

List of positive integer factors of 50262 that divides 50252 without a remainder.

1, 2, 3, 6, 8377, 16754, 25131

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50252 and 50262. The biggest common factor number is the GCF number.
So the greatest common factor 50252 and 50262 is 2.

Also check out the Least Common Multiple of 50252 and 50262