What is the Greatest Common Factor of 50235 and 50252?

Greatest common factor (GCF) of 50235 and 50252 is 17.

GCF(50235,50252) = 17

We will now calculate the prime factors of 50235 and 50252, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50235 and 50252.

How to find the GCF of 50235 and 50252?

We will first find the prime factorization of 50235 and 50252. After we will calculate the factors of 50235 and 50252 and find the biggest common factor number .

Step-1: Prime Factorization of 50235

Prime factors of 50235 are 3, 5, 17, 197. Prime factorization of 50235 in exponential form is:

50235 = 3¹ × 5¹ × 17¹ × 197¹

Step-2: 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-3: Factors of 50235

List of positive integer factors of 50235 that divides 50235 without a remainder.

1, 3, 5, 15, 17, 51, 85, 197, 255, 591, 985, 2955, 3349, 10047, 16745

Step-4: Factors of 50252

List of positive integer factors of 50252 that divides 50235 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50235 and 50252. The biggest common factor number is the GCF number.
So the greatest common factor 50235 and 50252 is 17.

Also check out the Least Common Multiple of 50235 and 50252