What is the Greatest Common Factor of 68050 and 68070?

Greatest common factor (GCF) of 68050 and 68070 is 10.

GCF(68050,68070) = 10

We will now calculate the prime factors of 68050 and 68070, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68050 and 68070.

How to find the GCF of 68050 and 68070?

We will first find the prime factorization of 68050 and 68070. After we will calculate the factors of 68050 and 68070 and find the biggest common factor number .

Step-1: Prime Factorization of 68050

Prime factors of 68050 are 2, 5, 1361. Prime factorization of 68050 in exponential form is:

68050 = 2¹ × 5² × 1361¹

Step-2: Prime Factorization of 68070

Prime factors of 68070 are 2, 3, 5, 2269. Prime factorization of 68070 in exponential form is:

68070 = 2¹ × 3¹ × 5¹ × 2269¹

Step-3: Factors of 68050

List of positive integer factors of 68050 that divides 68050 without a remainder.

1, 2, 5, 10, 25, 50, 1361, 2722, 6805, 13610, 34025

Step-4: Factors of 68070

List of positive integer factors of 68070 that divides 68050 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 2269, 4538, 6807, 11345, 13614, 22690, 34035

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68050 and 68070. The biggest common factor number is the GCF number.
So the greatest common factor 68050 and 68070 is 10.

Also check out the Least Common Multiple of 68050 and 68070