What is the Greatest Common Factor of 68070 and 68090?

Greatest common factor (GCF) of 68070 and 68090 is 10.

GCF(68070,68090) = 10

We will now calculate the prime factors of 68070 and 68090, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68070 and 68090.

How to find the GCF of 68070 and 68090?

We will first find the prime factorization of 68070 and 68090. After we will calculate the factors of 68070 and 68090 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 68090

Prime factors of 68090 are 2, 5, 11, 619. Prime factorization of 68090 in exponential form is:

68090 = 2¹ × 5¹ × 11¹ × 619¹

Step-3: Factors of 68070

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

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

Step-4: Factors of 68090

List of positive integer factors of 68090 that divides 68070 without a remainder.

1, 2, 5, 10, 11, 22, 55, 110, 619, 1238, 3095, 6190, 6809, 13618, 34045

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68070 and 68090. The biggest common factor number is the GCF number.
So the greatest common factor 68070 and 68090 is 10.

Also check out the Least Common Multiple of 68070 and 68090