What is the Greatest Common Factor of 60450 and 60461?

Greatest common factor (GCF) of 60450 and 60461 is 1.

GCF(60450,60461) = 1

We will now calculate the prime factors of 60450 and 60461, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60450 and 60461.

How to find the GCF of 60450 and 60461?

We will first find the prime factorization of 60450 and 60461. After we will calculate the factors of 60450 and 60461 and find the biggest common factor number .

Step-1: Prime Factorization of 60450

Prime factors of 60450 are 2, 3, 5, 13, 31. Prime factorization of 60450 in exponential form is:

60450 = 2¹ × 3¹ × 5² × 13¹ × 31¹

Step-2: Prime Factorization of 60461

Prime factors of 60461 are 103, 587. Prime factorization of 60461 in exponential form is:

60461 = 103¹ × 587¹

Step-3: Factors of 60450

List of positive integer factors of 60450 that divides 60450 without a remainder.

1, 2, 3, 5, 6, 10, 13, 15, 25, 26, 30, 31, 39, 50, 62, 65, 75, 78, 93, 130, 150, 155, 186, 195, 310, 325, 390, 403, 465, 650, 775, 806, 930, 975, 1209, 1550, 1950, 2015, 2325, 2418, 4030, 4650, 6045, 10075, 12090, 20150, 30225

Step-4: Factors of 60461

List of positive integer factors of 60461 that divides 60450 without a remainder.

1, 103, 587

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60450 and 60461. The biggest common factor number is the GCF number.
So the greatest common factor 60450 and 60461 is 1.

Also check out the Least Common Multiple of 60450 and 60461