What is the Greatest Common Factor of 89064 and 89076?

Greatest common factor (GCF) of 89064 and 89076 is 12.

GCF(89064,89076) = 12

We will now calculate the prime factors of 89064 and 89076, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89064 and 89076.

How to find the GCF of 89064 and 89076?

We will first find the prime factorization of 89064 and 89076. After we will calculate the factors of 89064 and 89076 and find the biggest common factor number .

Step-1: Prime Factorization of 89064

Prime factors of 89064 are 2, 3, 1237. Prime factorization of 89064 in exponential form is:

89064 = 2³ × 3² × 1237¹

Step-2: Prime Factorization of 89076

Prime factors of 89076 are 2, 3, 13, 571. Prime factorization of 89076 in exponential form is:

89076 = 2² × 3¹ × 13¹ × 571¹

Step-3: Factors of 89064

List of positive integer factors of 89064 that divides 89064 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 1237, 2474, 3711, 4948, 7422, 9896, 11133, 14844, 22266, 29688, 44532

Step-4: Factors of 89076

List of positive integer factors of 89076 that divides 89064 without a remainder.

1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156, 571, 1142, 1713, 2284, 3426, 6852, 7423, 14846, 22269, 29692, 44538

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89064 and 89076. The biggest common factor number is the GCF number.
So the greatest common factor 89064 and 89076 is 12.

Also check out the Least Common Multiple of 89064 and 89076