What is the Greatest Common Factor of 62050 and 62062?

Greatest common factor (GCF) of 62050 and 62062 is 2.

GCF(62050,62062) = 2

We will now calculate the prime factors of 62050 and 62062, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62050 and 62062.

How to find the GCF of 62050 and 62062?

We will first find the prime factorization of 62050 and 62062. After we will calculate the factors of 62050 and 62062 and find the biggest common factor number .

Step-1: Prime Factorization of 62050

Prime factors of 62050 are 2, 5, 17, 73. Prime factorization of 62050 in exponential form is:

62050 = 2¹ × 5² × 17¹ × 73¹

Step-2: Prime Factorization of 62062

Prime factors of 62062 are 2, 7, 11, 13, 31. Prime factorization of 62062 in exponential form is:

62062 = 2¹ × 7¹ × 11¹ × 13¹ × 31¹

Step-3: Factors of 62050

List of positive integer factors of 62050 that divides 62050 without a remainder.

1, 2, 5, 10, 17, 25, 34, 50, 73, 85, 146, 170, 365, 425, 730, 850, 1241, 1825, 2482, 3650, 6205, 12410, 31025

Step-4: Factors of 62062

List of positive integer factors of 62062 that divides 62050 without a remainder.

1, 2, 7, 11, 13, 14, 22, 26, 31, 62, 77, 91, 143, 154, 182, 217, 286, 341, 403, 434, 682, 806, 1001, 2002, 2387, 2821, 4433, 4774, 5642, 8866, 31031

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62050 and 62062. The biggest common factor number is the GCF number.
So the greatest common factor 62050 and 62062 is 2.

Also check out the Least Common Multiple of 62050 and 62062