What is the Greatest Common Factor of 62050 and 62070?

Greatest common factor (GCF) of 62050 and 62070 is 10.

GCF(62050,62070) = 10

We will now calculate the prime factors of 62050 and 62070, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62050 and 62070.

How to find the GCF of 62050 and 62070?

We will first find the prime factorization of 62050 and 62070. After we will calculate the factors of 62050 and 62070 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 62070

Prime factors of 62070 are 2, 3, 5, 2069. Prime factorization of 62070 in exponential form is:

62070 = 2¹ × 3¹ × 5¹ × 2069¹

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 62070

List of positive integer factors of 62070 that divides 62050 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 2069, 4138, 6207, 10345, 12414, 20690, 31035

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62050 and 62070. The biggest common factor number is the GCF number.
So the greatest common factor 62050 and 62070 is 10.

Also check out the Least Common Multiple of 62050 and 62070