What is the Greatest Common Factor of 89138 and 89152?

Greatest common factor (GCF) of 89138 and 89152 is 14.

GCF(89138,89152) = 14

We will now calculate the prime factors of 89138 and 89152, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89138 and 89152.

How to find the GCF of 89138 and 89152?

We will first find the prime factorization of 89138 and 89152. After we will calculate the factors of 89138 and 89152 and find the biggest common factor number .

Step-1: Prime Factorization of 89138

Prime factors of 89138 are 2, 7, 6367. Prime factorization of 89138 in exponential form is:

89138 = 2¹ × 7¹ × 6367¹

Step-2: Prime Factorization of 89152

Prime factors of 89152 are 2, 7, 199. Prime factorization of 89152 in exponential form is:

89152 = 2⁶ × 7¹ × 199¹

Step-3: Factors of 89138

List of positive integer factors of 89138 that divides 89138 without a remainder.

1, 2, 7, 14, 6367, 12734, 44569

Step-4: Factors of 89152

List of positive integer factors of 89152 that divides 89138 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 199, 224, 398, 448, 796, 1393, 1592, 2786, 3184, 5572, 6368, 11144, 12736, 22288, 44576

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89138 and 89152. The biggest common factor number is the GCF number.
So the greatest common factor 89138 and 89152 is 14.

Also check out the Least Common Multiple of 89138 and 89152