What is the Greatest Common Factor of 89048 and 89052?

Greatest common factor (GCF) of 89048 and 89052 is 4.

GCF(89048,89052) = 4

We will now calculate the prime factors of 89048 and 89052, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89048 and 89052.

How to find the GCF of 89048 and 89052?

We will first find the prime factorization of 89048 and 89052. After we will calculate the factors of 89048 and 89052 and find the biggest common factor number .

Step-1: Prime Factorization of 89048

Prime factors of 89048 are 2, 11131. Prime factorization of 89048 in exponential form is:

89048 = 2³ × 11131¹

Step-2: Prime Factorization of 89052

Prime factors of 89052 are 2, 3, 41, 181. Prime factorization of 89052 in exponential form is:

89052 = 2² × 3¹ × 41¹ × 181¹

Step-3: Factors of 89048

List of positive integer factors of 89048 that divides 89048 without a remainder.

1, 2, 4, 8, 11131, 22262, 44524

Step-4: Factors of 89052

List of positive integer factors of 89052 that divides 89048 without a remainder.

1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 181, 246, 362, 492, 543, 724, 1086, 2172, 7421, 14842, 22263, 29684, 44526

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89048 and 89052. The biggest common factor number is the GCF number.
So the greatest common factor 89048 and 89052 is 4.

Also check out the Least Common Multiple of 89048 and 89052