What is the Greatest Common Factor of 68021 and 68035?

Greatest common factor (GCF) of 68021 and 68035 is 1.

GCF(68021,68035) = 1

We will now calculate the prime factors of 68021 and 68035, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68021 and 68035.

How to find the GCF of 68021 and 68035?

We will first find the prime factorization of 68021 and 68035. After we will calculate the factors of 68021 and 68035 and find the biggest common factor number .

Step-1: Prime Factorization of 68021

Prime factors of 68021 are 251, 271. Prime factorization of 68021 in exponential form is:

68021 = 251¹ × 271¹

Step-2: Prime Factorization of 68035

Prime factors of 68035 are 5, 11, 1237. Prime factorization of 68035 in exponential form is:

68035 = 5¹ × 11¹ × 1237¹

Step-3: Factors of 68021

List of positive integer factors of 68021 that divides 68021 without a remainder.

1, 251, 271

Step-4: Factors of 68035

List of positive integer factors of 68035 that divides 68021 without a remainder.

1, 5, 11, 55, 1237, 6185, 13607

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68021 and 68035. The biggest common factor number is the GCF number.
So the greatest common factor 68021 and 68035 is 1.

Also check out the Least Common Multiple of 68021 and 68035