What is the Greatest Common Factor of 62150 and 62170?

Greatest common factor (GCF) of 62150 and 62170 is 10.

GCF(62150,62170) = 10

We will now calculate the prime factors of 62150 and 62170, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62150 and 62170.

How to find the GCF of 62150 and 62170?

We will first find the prime factorization of 62150 and 62170. After we will calculate the factors of 62150 and 62170 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 62170

Prime factors of 62170 are 2, 5, 6217. Prime factorization of 62170 in exponential form is:

62170 = 2¹ × 5¹ × 6217¹

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 62170

List of positive integer factors of 62170 that divides 62150 without a remainder.

1, 2, 5, 10, 6217, 12434, 31085

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62150 and 62170. The biggest common factor number is the GCF number.
So the greatest common factor 62150 and 62170 is 10.

Also check out the Least Common Multiple of 62150 and 62170