What is the Greatest Common Factor of 89941 and 89952?

Greatest common factor (GCF) of 89941 and 89952 is 1.

GCF(89941,89952) = 1

We will now calculate the prime factors of 89941 and 89952, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89941 and 89952.

How to find the GCF of 89941 and 89952?

We will first find the prime factorization of 89941 and 89952. After we will calculate the factors of 89941 and 89952 and find the biggest common factor number .

Step-1: Prime Factorization of 89941

Prime factors of 89941 are 53, 1697. Prime factorization of 89941 in exponential form is:

89941 = 53¹ × 1697¹

Step-2: 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-3: Factors of 89941

List of positive integer factors of 89941 that divides 89941 without a remainder.

1, 53, 1697

Step-4: Factors of 89952

List of positive integer factors of 89952 that divides 89941 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89941 and 89952. The biggest common factor number is the GCF number.
So the greatest common factor 89941 and 89952 is 1.

Also check out the Least Common Multiple of 89941 and 89952