What is the Greatest Common Factor of 68991 and 69004?

Greatest common factor (GCF) of 68991 and 69004 is 13.

GCF(68991,69004) = 13

We will now calculate the prime factors of 68991 and 69004, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68991 and 69004.

How to find the GCF of 68991 and 69004?

We will first find the prime factorization of 68991 and 69004. After we will calculate the factors of 68991 and 69004 and find the biggest common factor number .

Step-1: Prime Factorization of 68991

Prime factors of 68991 are 3, 13, 29, 61. Prime factorization of 68991 in exponential form is:

68991 = 3¹ × 13¹ × 29¹ × 61¹

Step-2: Prime Factorization of 69004

Prime factors of 69004 are 2, 13, 1327. Prime factorization of 69004 in exponential form is:

69004 = 2² × 13¹ × 1327¹

Step-3: Factors of 68991

List of positive integer factors of 68991 that divides 68991 without a remainder.

1, 3, 13, 29, 39, 61, 87, 183, 377, 793, 1131, 1769, 2379, 5307, 22997

Step-4: Factors of 69004

List of positive integer factors of 69004 that divides 68991 without a remainder.

1, 2, 4, 13, 26, 52, 1327, 2654, 5308, 17251, 34502

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68991 and 69004. The biggest common factor number is the GCF number.
So the greatest common factor 68991 and 69004 is 13.

Also check out the Least Common Multiple of 68991 and 69004