What is the Greatest Common Factor of 62850 and 62870?

Greatest common factor (GCF) of 62850 and 62870 is 10.

GCF(62850,62870) = 10

We will now calculate the prime factors of 62850 and 62870, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62850 and 62870.

How to find the GCF of 62850 and 62870?

We will first find the prime factorization of 62850 and 62870. After we will calculate the factors of 62850 and 62870 and find the biggest common factor number .

Step-1: Prime Factorization of 62850

Prime factors of 62850 are 2, 3, 5, 419. Prime factorization of 62850 in exponential form is:

62850 = 2¹ × 3¹ × 5² × 419¹

Step-2: Prime Factorization of 62870

Prime factors of 62870 are 2, 5, 6287. Prime factorization of 62870 in exponential form is:

62870 = 2¹ × 5¹ × 6287¹

Step-3: Factors of 62850

List of positive integer factors of 62850 that divides 62850 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150, 419, 838, 1257, 2095, 2514, 4190, 6285, 10475, 12570, 20950, 31425

Step-4: Factors of 62870

List of positive integer factors of 62870 that divides 62850 without a remainder.

1, 2, 5, 10, 6287, 12574, 31435

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62850 and 62870. The biggest common factor number is the GCF number.
So the greatest common factor 62850 and 62870 is 10.

Also check out the Least Common Multiple of 62850 and 62870