What is the Greatest Common Factor of 60590 and 60605?

Greatest common factor (GCF) of 60590 and 60605 is 5.

GCF(60590,60605) = 5

We will now calculate the prime factors of 60590 and 60605, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60590 and 60605.

How to find the GCF of 60590 and 60605?

We will first find the prime factorization of 60590 and 60605. After we will calculate the factors of 60590 and 60605 and find the biggest common factor number .

Step-1: Prime Factorization of 60590

Prime factors of 60590 are 2, 5, 73, 83. Prime factorization of 60590 in exponential form is:

60590 = 2¹ × 5¹ × 73¹ × 83¹

Step-2: Prime Factorization of 60605

Prime factors of 60605 are 5, 17, 23, 31. Prime factorization of 60605 in exponential form is:

60605 = 5¹ × 17¹ × 23¹ × 31¹

Step-3: Factors of 60590

List of positive integer factors of 60590 that divides 60590 without a remainder.

1, 2, 5, 10, 73, 83, 146, 166, 365, 415, 730, 830, 6059, 12118, 30295

Step-4: Factors of 60605

List of positive integer factors of 60605 that divides 60590 without a remainder.

1, 5, 17, 23, 31, 85, 115, 155, 391, 527, 713, 1955, 2635, 3565, 12121

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60590 and 60605. The biggest common factor number is the GCF number.
So the greatest common factor 60590 and 60605 is 5.

Also check out the Least Common Multiple of 60590 and 60605