What is the Greatest Common Factor of 90506 and 90514?

Greatest common factor (GCF) of 90506 and 90514 is 2.

GCF(90506,90514) = 2

We will now calculate the prime factors of 90506 and 90514, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90506 and 90514.

How to find the GCF of 90506 and 90514?

We will first find the prime factorization of 90506 and 90514. After we will calculate the factors of 90506 and 90514 and find the biggest common factor number .

Step-1: Prime Factorization of 90506

Prime factors of 90506 are 2, 13, 59. Prime factorization of 90506 in exponential form is:

90506 = 2¹ × 13¹ × 59²

Step-2: Prime Factorization of 90514

Prime factors of 90514 are 2, 167, 271. Prime factorization of 90514 in exponential form is:

90514 = 2¹ × 167¹ × 271¹

Step-3: Factors of 90506

List of positive integer factors of 90506 that divides 90506 without a remainder.

1, 2, 13, 26, 59, 118, 767, 1534, 3481, 6962, 45253

Step-4: Factors of 90514

List of positive integer factors of 90514 that divides 90506 without a remainder.

1, 2, 167, 271, 334, 542, 45257

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90506 and 90514. The biggest common factor number is the GCF number.
So the greatest common factor 90506 and 90514 is 2.

Also check out the Least Common Multiple of 90506 and 90514