What is the Greatest Common Factor of 89778 and 89791?

Greatest common factor (GCF) of 89778 and 89791 is 13.

GCF(89778,89791) = 13

We will now calculate the prime factors of 89778 and 89791, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89778 and 89791.

How to find the GCF of 89778 and 89791?

We will first find the prime factorization of 89778 and 89791. After we will calculate the factors of 89778 and 89791 and find the biggest common factor number .

Step-1: Prime Factorization of 89778

Prime factors of 89778 are 2, 3, 13, 1151. Prime factorization of 89778 in exponential form is:

89778 = 2¹ × 3¹ × 13¹ × 1151¹

Step-2: Prime Factorization of 89791

Prime factors of 89791 are 13, 6907. Prime factorization of 89791 in exponential form is:

89791 = 13¹ × 6907¹

Step-3: Factors of 89778

List of positive integer factors of 89778 that divides 89778 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78, 1151, 2302, 3453, 6906, 14963, 29926, 44889

Step-4: Factors of 89791

List of positive integer factors of 89791 that divides 89778 without a remainder.

1, 13, 6907

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89778 and 89791. The biggest common factor number is the GCF number.
So the greatest common factor 89778 and 89791 is 13.

Also check out the Least Common Multiple of 89778 and 89791