What is the Greatest Common Factor of 75633 and 75650?

Greatest common factor (GCF) of 75633 and 75650 is 17.

GCF(75633,75650) = 17

We will now calculate the prime factors of 75633 and 75650, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75633 and 75650.

How to find the GCF of 75633 and 75650?

We will first find the prime factorization of 75633 and 75650. After we will calculate the factors of 75633 and 75650 and find the biggest common factor number .

Step-1: Prime Factorization of 75633

Prime factors of 75633 are 3, 17, 1483. Prime factorization of 75633 in exponential form is:

75633 = 3¹ × 17¹ × 1483¹

Step-2: Prime Factorization of 75650

Prime factors of 75650 are 2, 5, 17, 89. Prime factorization of 75650 in exponential form is:

75650 = 2¹ × 5² × 17¹ × 89¹

Step-3: Factors of 75633

List of positive integer factors of 75633 that divides 75633 without a remainder.

1, 3, 17, 51, 1483, 4449, 25211

Step-4: Factors of 75650

List of positive integer factors of 75650 that divides 75633 without a remainder.

1, 2, 5, 10, 17, 25, 34, 50, 85, 89, 170, 178, 425, 445, 850, 890, 1513, 2225, 3026, 4450, 7565, 15130, 37825

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75633 and 75650. The biggest common factor number is the GCF number.
So the greatest common factor 75633 and 75650 is 17.

Also check out the Least Common Multiple of 75633 and 75650