What is the Greatest Common Factor of 62050 and 62054?

Greatest common factor (GCF) of 62050 and 62054 is 2.

GCF(62050,62054) = 2

We will now calculate the prime factors of 62050 and 62054, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62050 and 62054.

How to find the GCF of 62050 and 62054?

We will first find the prime factorization of 62050 and 62054. After we will calculate the factors of 62050 and 62054 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 62054

Prime factors of 62054 are 2, 19, 23, 71. Prime factorization of 62054 in exponential form is:

62054 = 2¹ × 19¹ × 23¹ × 71¹

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 62054

List of positive integer factors of 62054 that divides 62050 without a remainder.

1, 2, 19, 23, 38, 46, 71, 142, 437, 874, 1349, 1633, 2698, 3266, 31027

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62050 and 62054. The biggest common factor number is the GCF number.
So the greatest common factor 62050 and 62054 is 2.

Also check out the Least Common Multiple of 62050 and 62054