What is the Greatest Common Factor of 60208 and 60225?

Greatest common factor (GCF) of 60208 and 60225 is 1.

GCF(60208,60225) = 1

We will now calculate the prime factors of 60208 and 60225, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60208 and 60225.

How to find the GCF of 60208 and 60225?

We will first find the prime factorization of 60208 and 60225. After we will calculate the factors of 60208 and 60225 and find the biggest common factor number .

Step-1: Prime Factorization of 60208

Prime factors of 60208 are 2, 53, 71. Prime factorization of 60208 in exponential form is:

60208 = 2⁴ × 53¹ × 71¹

Step-2: Prime Factorization of 60225

Prime factors of 60225 are 3, 5, 11, 73. Prime factorization of 60225 in exponential form is:

60225 = 3¹ × 5² × 11¹ × 73¹

Step-3: Factors of 60208

List of positive integer factors of 60208 that divides 60208 without a remainder.

1, 2, 4, 8, 16, 53, 71, 106, 142, 212, 284, 424, 568, 848, 1136, 3763, 7526, 15052, 30104

Step-4: Factors of 60225

List of positive integer factors of 60225 that divides 60208 without a remainder.

1, 3, 5, 11, 15, 25, 33, 55, 73, 75, 165, 219, 275, 365, 803, 825, 1095, 1825, 2409, 4015, 5475, 12045, 20075

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60208 and 60225. The biggest common factor number is the GCF number.
So the greatest common factor 60208 and 60225 is 1.

Also check out the Least Common Multiple of 60208 and 60225