What is the Greatest Common Factor of 68973 and 68991?

Greatest common factor (GCF) of 68973 and 68991 is 3.

GCF(68973,68991) = 3

We will now calculate the prime factors of 68973 and 68991, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68973 and 68991.

How to find the GCF of 68973 and 68991?

We will first find the prime factorization of 68973 and 68991. After we will calculate the factors of 68973 and 68991 and find the biggest common factor number .

Step-1: Prime Factorization of 68973

Prime factors of 68973 are 3, 83, 277. Prime factorization of 68973 in exponential form is:

68973 = 3¹ × 83¹ × 277¹

Step-2: 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-3: Factors of 68973

List of positive integer factors of 68973 that divides 68973 without a remainder.

1, 3, 83, 249, 277, 831, 22991

Step-4: Factors of 68991

List of positive integer factors of 68991 that divides 68973 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68973 and 68991. The biggest common factor number is the GCF number.
So the greatest common factor 68973 and 68991 is 3.

Also check out the Least Common Multiple of 68973 and 68991