What is the Greatest Common Factor of 68024 and 68035?

Greatest common factor (GCF) of 68024 and 68035 is 11.

GCF(68024,68035) = 11

We will now calculate the prime factors of 68024 and 68035, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68024 and 68035.

How to find the GCF of 68024 and 68035?

We will first find the prime factorization of 68024 and 68035. After we will calculate the factors of 68024 and 68035 and find the biggest common factor number .

Step-1: Prime Factorization of 68024

Prime factors of 68024 are 2, 11, 773. Prime factorization of 68024 in exponential form is:

68024 = 2³ × 11¹ × 773¹

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 68024

List of positive integer factors of 68024 that divides 68024 without a remainder.

1, 2, 4, 8, 11, 22, 44, 88, 773, 1546, 3092, 6184, 8503, 17006, 34012

Step-4: Factors of 68035

List of positive integer factors of 68035 that divides 68024 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68024 and 68035. The biggest common factor number is the GCF number.
So the greatest common factor 68024 and 68035 is 11.

Also check out the Least Common Multiple of 68024 and 68035