What is the Greatest Common Factor of 66050 and 66070?

Greatest common factor (GCF) of 66050 and 66070 is 10.

GCF(66050,66070) = 10

We will now calculate the prime factors of 66050 and 66070, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66050 and 66070.

How to find the GCF of 66050 and 66070?

We will first find the prime factorization of 66050 and 66070. After we will calculate the factors of 66050 and 66070 and find the biggest common factor number .

Step-1: Prime Factorization of 66050

Prime factors of 66050 are 2, 5, 1321. Prime factorization of 66050 in exponential form is:

66050 = 2¹ × 5² × 1321¹

Step-2: Prime Factorization of 66070

Prime factors of 66070 are 2, 5, 6607. Prime factorization of 66070 in exponential form is:

66070 = 2¹ × 5¹ × 6607¹

Step-3: Factors of 66050

List of positive integer factors of 66050 that divides 66050 without a remainder.

1, 2, 5, 10, 25, 50, 1321, 2642, 6605, 13210, 33025

Step-4: Factors of 66070

List of positive integer factors of 66070 that divides 66050 without a remainder.

1, 2, 5, 10, 6607, 13214, 33035

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66050 and 66070. The biggest common factor number is the GCF number.
So the greatest common factor 66050 and 66070 is 10.

Also check out the Least Common Multiple of 66050 and 66070