What is the Greatest Common Factor of 89780 and 89794?

Greatest common factor (GCF) of 89780 and 89794 is 2.

GCF(89780,89794) = 2

We will now calculate the prime factors of 89780 and 89794, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89780 and 89794.

How to find the GCF of 89780 and 89794?

We will first find the prime factorization of 89780 and 89794. After we will calculate the factors of 89780 and 89794 and find the biggest common factor number .

Step-1: Prime Factorization of 89780

Prime factors of 89780 are 2, 5, 67. Prime factorization of 89780 in exponential form is:

89780 = 2² × 5¹ × 67²

Step-2: Prime Factorization of 89794

Prime factors of 89794 are 2, 17, 19, 139. Prime factorization of 89794 in exponential form is:

89794 = 2¹ × 17¹ × 19¹ × 139¹

Step-3: Factors of 89780

List of positive integer factors of 89780 that divides 89780 without a remainder.

1, 2, 4, 5, 10, 20, 67, 134, 268, 335, 670, 1340, 4489, 8978, 17956, 22445, 44890

Step-4: Factors of 89794

List of positive integer factors of 89794 that divides 89780 without a remainder.

1, 2, 17, 19, 34, 38, 139, 278, 323, 646, 2363, 2641, 4726, 5282, 44897

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89780 and 89794. The biggest common factor number is the GCF number.
So the greatest common factor 89780 and 89794 is 2.

Also check out the Least Common Multiple of 89780 and 89794