What is the Greatest Common Factor of 90014 and 90034?

Greatest common factor (GCF) of 90014 and 90034 is 2.

GCF(90014,90034) = 2

We will now calculate the prime factors of 90014 and 90034, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90014 and 90034.

How to find the GCF of 90014 and 90034?

We will first find the prime factorization of 90014 and 90034. After we will calculate the factors of 90014 and 90034 and find the biggest common factor number .

Step-1: Prime Factorization of 90014

Prime factors of 90014 are 2, 45007. Prime factorization of 90014 in exponential form is:

90014 = 2¹ × 45007¹

Step-2: Prime Factorization of 90034

Prime factors of 90034 are 2, 7, 59, 109. Prime factorization of 90034 in exponential form is:

90034 = 2¹ × 7¹ × 59¹ × 109¹

Step-3: Factors of 90014

List of positive integer factors of 90014 that divides 90014 without a remainder.

1, 2, 45007

Step-4: Factors of 90034

List of positive integer factors of 90034 that divides 90014 without a remainder.

1, 2, 7, 14, 59, 109, 118, 218, 413, 763, 826, 1526, 6431, 12862, 45017

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90014 and 90034. The biggest common factor number is the GCF number.
So the greatest common factor 90014 and 90034 is 2.

Also check out the Least Common Multiple of 90014 and 90034