What is the Greatest Common Factor of 89604 and 89616?

Greatest common factor (GCF) of 89604 and 89616 is 12.

GCF(89604,89616) = 12

We will now calculate the prime factors of 89604 and 89616, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89604 and 89616.

How to find the GCF of 89604 and 89616?

We will first find the prime factorization of 89604 and 89616. After we will calculate the factors of 89604 and 89616 and find the biggest common factor number .

Step-1: Prime Factorization of 89604

Prime factors of 89604 are 2, 3, 19, 131. Prime factorization of 89604 in exponential form is:

89604 = 2² × 3² × 19¹ × 131¹

Step-2: Prime Factorization of 89616

Prime factors of 89616 are 2, 3, 1867. Prime factorization of 89616 in exponential form is:

89616 = 2⁴ × 3¹ × 1867¹

Step-3: Factors of 89604

List of positive integer factors of 89604 that divides 89604 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 131, 171, 228, 262, 342, 393, 524, 684, 786, 1179, 1572, 2358, 2489, 4716, 4978, 7467, 9956, 14934, 22401, 29868, 44802

Step-4: Factors of 89616

List of positive integer factors of 89616 that divides 89604 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 1867, 3734, 5601, 7468, 11202, 14936, 22404, 29872, 44808

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89604 and 89616. The biggest common factor number is the GCF number.
So the greatest common factor 89604 and 89616 is 12.

Also check out the Least Common Multiple of 89604 and 89616