What is the Greatest Common Factor of 60340 and 60355?

Greatest common factor (GCF) of 60340 and 60355 is 5.

GCF(60340,60355) = 5

We will now calculate the prime factors of 60340 and 60355, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60340 and 60355.

How to find the GCF of 60340 and 60355?

We will first find the prime factorization of 60340 and 60355. After we will calculate the factors of 60340 and 60355 and find the biggest common factor number .

Step-1: Prime Factorization of 60340

Prime factors of 60340 are 2, 5, 7, 431. Prime factorization of 60340 in exponential form is:

60340 = 2² × 5¹ × 7¹ × 431¹

Step-2: Prime Factorization of 60355

Prime factors of 60355 are 5, 12071. Prime factorization of 60355 in exponential form is:

60355 = 5¹ × 12071¹

Step-3: Factors of 60340

List of positive integer factors of 60340 that divides 60340 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140, 431, 862, 1724, 2155, 3017, 4310, 6034, 8620, 12068, 15085, 30170

Step-4: Factors of 60355

List of positive integer factors of 60355 that divides 60340 without a remainder.

1, 5, 12071

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60340 and 60355. The biggest common factor number is the GCF number.
So the greatest common factor 60340 and 60355 is 5.

Also check out the Least Common Multiple of 60340 and 60355