What is the Greatest Common Factor of 89925 and 89936?

Greatest common factor (GCF) of 89925 and 89936 is 11.

GCF(89925,89936) = 11

We will now calculate the prime factors of 89925 and 89936, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89925 and 89936.

How to find the GCF of 89925 and 89936?

We will first find the prime factorization of 89925 and 89936. After we will calculate the factors of 89925 and 89936 and find the biggest common factor number .

Step-1: Prime Factorization of 89925

Prime factors of 89925 are 3, 5, 11, 109. Prime factorization of 89925 in exponential form is:

89925 = 3¹ × 5² × 11¹ × 109¹

Step-2: Prime Factorization of 89936

Prime factors of 89936 are 2, 7, 11, 73. Prime factorization of 89936 in exponential form is:

89936 = 2⁴ × 7¹ × 11¹ × 73¹

Step-3: Factors of 89925

List of positive integer factors of 89925 that divides 89925 without a remainder.

1, 3, 5, 11, 15, 25, 33, 55, 75, 109, 165, 275, 327, 545, 825, 1199, 1635, 2725, 3597, 5995, 8175, 17985, 29975

Step-4: Factors of 89936

List of positive integer factors of 89936 that divides 89925 without a remainder.

1, 2, 4, 7, 8, 11, 14, 16, 22, 28, 44, 56, 73, 77, 88, 112, 146, 154, 176, 292, 308, 511, 584, 616, 803, 1022, 1168, 1232, 1606, 2044, 3212, 4088, 5621, 6424, 8176, 11242, 12848, 22484, 44968

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89925 and 89936. The biggest common factor number is the GCF number.
So the greatest common factor 89925 and 89936 is 11.

Also check out the Least Common Multiple of 89925 and 89936