What is the Greatest Common Factor of 50253 and 50260?

Greatest common factor (GCF) of 50253 and 50260 is 7.

GCF(50253,50260) = 7

We will now calculate the prime factors of 50253 and 50260, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50253 and 50260.

How to find the GCF of 50253 and 50260?

We will first find the prime factorization of 50253 and 50260. After we will calculate the factors of 50253 and 50260 and find the biggest common factor number .

Step-1: Prime Factorization of 50253

Prime factors of 50253 are 3, 7, 2393. Prime factorization of 50253 in exponential form is:

50253 = 3¹ × 7¹ × 2393¹

Step-2: Prime Factorization of 50260

Prime factors of 50260 are 2, 5, 7, 359. Prime factorization of 50260 in exponential form is:

50260 = 2² × 5¹ × 7¹ × 359¹

Step-3: Factors of 50253

List of positive integer factors of 50253 that divides 50253 without a remainder.

1, 3, 7, 21, 2393, 7179, 16751

Step-4: Factors of 50260

List of positive integer factors of 50260 that divides 50253 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140, 359, 718, 1436, 1795, 2513, 3590, 5026, 7180, 10052, 12565, 25130

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50253 and 50260. The biggest common factor number is the GCF number.
So the greatest common factor 50253 and 50260 is 7.

Also check out the Least Common Multiple of 50253 and 50260