What is the Greatest Common Factor of 89928 and 89936?

Greatest common factor (GCF) of 89928 and 89936 is 8.

GCF(89928,89936) = 8

We will now calculate the prime factors of 89928 and 89936, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89928 and 89936.

How to find the GCF of 89928 and 89936?

We will first find the prime factorization of 89928 and 89936. After we will calculate the factors of 89928 and 89936 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 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 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 89936

List of positive integer factors of 89936 that divides 89928 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 89928 and 89936. The biggest common factor number is the GCF number.
So the greatest common factor 89928 and 89936 is 8.

Also check out the Least Common Multiple of 89928 and 89936