What is the Greatest Common Factor of 62033 and 62050?

Greatest common factor (GCF) of 62033 and 62050 is 17.

GCF(62033,62050) = 17

We will now calculate the prime factors of 62033 and 62050, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62033 and 62050.

How to find the GCF of 62033 and 62050?

We will first find the prime factorization of 62033 and 62050. After we will calculate the factors of 62033 and 62050 and find the biggest common factor number .

Step-1: Prime Factorization of 62033

Prime factors of 62033 are 17, 41, 89. Prime factorization of 62033 in exponential form is:

62033 = 17¹ × 41¹ × 89¹

Step-2: Prime Factorization of 62050

Prime factors of 62050 are 2, 5, 17, 73. Prime factorization of 62050 in exponential form is:

62050 = 2¹ × 5² × 17¹ × 73¹

Step-3: Factors of 62033

List of positive integer factors of 62033 that divides 62033 without a remainder.

1, 17, 41, 89, 697, 1513, 3649

Step-4: Factors of 62050

List of positive integer factors of 62050 that divides 62033 without a remainder.

1, 2, 5, 10, 17, 25, 34, 50, 73, 85, 146, 170, 365, 425, 730, 850, 1241, 1825, 2482, 3650, 6205, 12410, 31025

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62033 and 62050. The biggest common factor number is the GCF number.
So the greatest common factor 62033 and 62050 is 17.

Also check out the Least Common Multiple of 62033 and 62050