What is the Greatest Common Factor of 90514 and 90532?

Greatest common factor (GCF) of 90514 and 90532 is 2.

GCF(90514,90532) = 2

We will now calculate the prime factors of 90514 and 90532, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90514 and 90532.

How to find the GCF of 90514 and 90532?

We will first find the prime factorization of 90514 and 90532. After we will calculate the factors of 90514 and 90532 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 90532

Prime factors of 90532 are 2, 13, 1741. Prime factorization of 90532 in exponential form is:

90532 = 2² × 13¹ × 1741¹

Step-3: Factors of 90514

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

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

Step-4: Factors of 90532

List of positive integer factors of 90532 that divides 90514 without a remainder.

1, 2, 4, 13, 26, 52, 1741, 3482, 6964, 22633, 45266

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90514 and 90532. The biggest common factor number is the GCF number.
So the greatest common factor 90514 and 90532 is 2.

Also check out the Least Common Multiple of 90514 and 90532