What is the Greatest Common Factor of 68991 and 69007?

Greatest common factor (GCF) of 68991 and 69007 is 1.

GCF(68991,69007) = 1

We will now calculate the prime factors of 68991 and 69007, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68991 and 69007.

How to find the GCF of 68991 and 69007?

We will first find the prime factorization of 68991 and 69007. After we will calculate the factors of 68991 and 69007 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 69007

Prime factors of 69007 are 151, 457. Prime factorization of 69007 in exponential form is:

69007 = 151¹ × 457¹

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 69007

List of positive integer factors of 69007 that divides 68991 without a remainder.

1, 151, 457

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68991 and 69007. The biggest common factor number is the GCF number.
So the greatest common factor 68991 and 69007 is 1.

Also check out the Least Common Multiple of 68991 and 69007