What is the Greatest Common Factor of 62150 and 62165?

Greatest common factor (GCF) of 62150 and 62165 is 5.

GCF(62150,62165) = 5

We will now calculate the prime factors of 62150 and 62165, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62150 and 62165.

How to find the GCF of 62150 and 62165?

We will first find the prime factorization of 62150 and 62165. After we will calculate the factors of 62150 and 62165 and find the biggest common factor number .

Step-1: Prime Factorization of 62150

Prime factors of 62150 are 2, 5, 11, 113. Prime factorization of 62150 in exponential form is:

62150 = 2¹ × 5² × 11¹ × 113¹

Step-2: Prime Factorization of 62165

Prime factors of 62165 are 5, 12433. Prime factorization of 62165 in exponential form is:

62165 = 5¹ × 12433¹

Step-3: Factors of 62150

List of positive integer factors of 62150 that divides 62150 without a remainder.

1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 113, 226, 275, 550, 565, 1130, 1243, 2486, 2825, 5650, 6215, 12430, 31075

Step-4: Factors of 62165

List of positive integer factors of 62165 that divides 62150 without a remainder.

1, 5, 12433

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62150 and 62165. The biggest common factor number is the GCF number.
So the greatest common factor 62150 and 62165 is 5.

Also check out the Least Common Multiple of 62150 and 62165