What is the Greatest Common Factor of 89952 and 89969?

Greatest common factor (GCF) of 89952 and 89969 is 1.

GCF(89952,89969) = 1

We will now calculate the prime factors of 89952 and 89969, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89952 and 89969.

How to find the GCF of 89952 and 89969?

We will first find the prime factorization of 89952 and 89969. After we will calculate the factors of 89952 and 89969 and find the biggest common factor number .

Step-1: Prime Factorization of 89952

Prime factors of 89952 are 2, 3, 937. Prime factorization of 89952 in exponential form is:

89952 = 2⁵ × 3¹ × 937¹

Step-2: Prime Factorization of 89969

Prime factors of 89969 are 11, 8179. Prime factorization of 89969 in exponential form is:

89969 = 11¹ × 8179¹

Step-3: Factors of 89952

List of positive integer factors of 89952 that divides 89952 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 937, 1874, 2811, 3748, 5622, 7496, 11244, 14992, 22488, 29984, 44976

Step-4: Factors of 89969

List of positive integer factors of 89969 that divides 89952 without a remainder.

1, 11, 8179

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89952 and 89969. The biggest common factor number is the GCF number.
So the greatest common factor 89952 and 89969 is 1.

Also check out the Least Common Multiple of 89952 and 89969