What is the Greatest Common Factor of 68845 and 68852?

Greatest common factor (GCF) of 68845 and 68852 is 7.

GCF(68845,68852) = 7

We will now calculate the prime factors of 68845 and 68852, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68845 and 68852.

How to find the GCF of 68845 and 68852?

We will first find the prime factorization of 68845 and 68852. After we will calculate the factors of 68845 and 68852 and find the biggest common factor number .

Step-1: Prime Factorization of 68845

Prime factors of 68845 are 5, 7, 281. Prime factorization of 68845 in exponential form is:

68845 = 5¹ × 7² × 281¹

Step-2: Prime Factorization of 68852

Prime factors of 68852 are 2, 7, 2459. Prime factorization of 68852 in exponential form is:

68852 = 2² × 7¹ × 2459¹

Step-3: Factors of 68845

List of positive integer factors of 68845 that divides 68845 without a remainder.

1, 5, 7, 35, 49, 245, 281, 1405, 1967, 9835, 13769

Step-4: Factors of 68852

List of positive integer factors of 68852 that divides 68845 without a remainder.

1, 2, 4, 7, 14, 28, 2459, 4918, 9836, 17213, 34426

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68845 and 68852. The biggest common factor number is the GCF number.
So the greatest common factor 68845 and 68852 is 7.

Also check out the Least Common Multiple of 68845 and 68852