What is the Greatest Common Factor of 68072 and 68090?

Greatest common factor (GCF) of 68072 and 68090 is 2.

GCF(68072,68090) = 2

We will now calculate the prime factors of 68072 and 68090, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68072 and 68090.

How to find the GCF of 68072 and 68090?

We will first find the prime factorization of 68072 and 68090. After we will calculate the factors of 68072 and 68090 and find the biggest common factor number .

Step-1: Prime Factorization of 68072

Prime factors of 68072 are 2, 67, 127. Prime factorization of 68072 in exponential form is:

68072 = 2³ × 67¹ × 127¹

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 68072

List of positive integer factors of 68072 that divides 68072 without a remainder.

1, 2, 4, 8, 67, 127, 134, 254, 268, 508, 536, 1016, 8509, 17018, 34036

Step-4: Factors of 68090

List of positive integer factors of 68090 that divides 68072 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 68072 and 68090. The biggest common factor number is the GCF number.
So the greatest common factor 68072 and 68090 is 2.

Also check out the Least Common Multiple of 68072 and 68090