What is the Greatest Common Factor of 89928 and 89945?

Greatest common factor (GCF) of 89928 and 89945 is 1.

GCF(89928,89945) = 1

We will now calculate the prime factors of 89928 and 89945, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89928 and 89945.

How to find the GCF of 89928 and 89945?

We will first find the prime factorization of 89928 and 89945. After we will calculate the factors of 89928 and 89945 and find the biggest common factor number .

Step-1: Prime Factorization of 89928

Prime factors of 89928 are 2, 3, 1249. Prime factorization of 89928 in exponential form is:

89928 = 2³ × 3² × 1249¹

Step-2: Prime Factorization of 89945

Prime factors of 89945 are 5, 17989. Prime factorization of 89945 in exponential form is:

89945 = 5¹ × 17989¹

Step-3: Factors of 89928

List of positive integer factors of 89928 that divides 89928 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 1249, 2498, 3747, 4996, 7494, 9992, 11241, 14988, 22482, 29976, 44964

Step-4: Factors of 89945

List of positive integer factors of 89945 that divides 89928 without a remainder.

1, 5, 17989

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89928 and 89945. The biggest common factor number is the GCF number.
So the greatest common factor 89928 and 89945 is 1.

Also check out the Least Common Multiple of 89928 and 89945