What is the Greatest Common Factor of 68090 and 68101?

Greatest common factor (GCF) of 68090 and 68101 is 11.

GCF(68090,68101) = 11

We will now calculate the prime factors of 68090 and 68101, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68090 and 68101.

How to find the GCF of 68090 and 68101?

We will first find the prime factorization of 68090 and 68101. After we will calculate the factors of 68090 and 68101 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 68101

Prime factors of 68101 are 11, 41, 151. Prime factorization of 68101 in exponential form is:

68101 = 11¹ × 41¹ × 151¹

Step-3: Factors of 68090

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

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

Step-4: Factors of 68101

List of positive integer factors of 68101 that divides 68090 without a remainder.

1, 11, 41, 151, 451, 1661, 6191

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68090 and 68101. The biggest common factor number is the GCF number.
So the greatest common factor 68090 and 68101 is 11.

Also check out the Least Common Multiple of 68090 and 68101