What is the Greatest Common Factor of 89754 and 89770?

Greatest common factor (GCF) of 89754 and 89770 is 2.

GCF(89754,89770) = 2

We will now calculate the prime factors of 89754 and 89770, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89754 and 89770.

How to find the GCF of 89754 and 89770?

We will first find the prime factorization of 89754 and 89770. After we will calculate the factors of 89754 and 89770 and find the biggest common factor number .

Step-1: Prime Factorization of 89754

Prime factors of 89754 are 2, 3, 7, 2137. Prime factorization of 89754 in exponential form is:

89754 = 2¹ × 3¹ × 7¹ × 2137¹

Step-2: Prime Factorization of 89770

Prime factors of 89770 are 2, 5, 47, 191. Prime factorization of 89770 in exponential form is:

89770 = 2¹ × 5¹ × 47¹ × 191¹

Step-3: Factors of 89754

List of positive integer factors of 89754 that divides 89754 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 2137, 4274, 6411, 12822, 14959, 29918, 44877

Step-4: Factors of 89770

List of positive integer factors of 89770 that divides 89754 without a remainder.

1, 2, 5, 10, 47, 94, 191, 235, 382, 470, 955, 1910, 8977, 17954, 44885

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89754 and 89770. The biggest common factor number is the GCF number.
So the greatest common factor 89754 and 89770 is 2.

Also check out the Least Common Multiple of 89754 and 89770