What is the Greatest Common Factor of 90146 and 90158?

Greatest common factor (GCF) of 90146 and 90158 is 2.

GCF(90146,90158) = 2

We will now calculate the prime factors of 90146 and 90158, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90146 and 90158.

How to find the GCF of 90146 and 90158?

We will first find the prime factorization of 90146 and 90158. After we will calculate the factors of 90146 and 90158 and find the biggest common factor number .

Step-1: Prime Factorization of 90146

Prime factors of 90146 are 2, 7, 47, 137. Prime factorization of 90146 in exponential form is:

90146 = 2¹ × 7¹ × 47¹ × 137¹

Step-2: Prime Factorization of 90158

Prime factors of 90158 are 2, 61, 739. Prime factorization of 90158 in exponential form is:

90158 = 2¹ × 61¹ × 739¹

Step-3: Factors of 90146

List of positive integer factors of 90146 that divides 90146 without a remainder.

1, 2, 7, 14, 47, 94, 137, 274, 329, 658, 959, 1918, 6439, 12878, 45073

Step-4: Factors of 90158

List of positive integer factors of 90158 that divides 90146 without a remainder.

1, 2, 61, 122, 739, 1478, 45079

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90146 and 90158. The biggest common factor number is the GCF number.
So the greatest common factor 90146 and 90158 is 2.

Also check out the Least Common Multiple of 90146 and 90158