What is the Greatest Common Factor of 90886 and 90902?

Greatest common factor (GCF) of 90886 and 90902 is 2.

GCF(90886,90902) = 2

We will now calculate the prime factors of 90886 and 90902, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90886 and 90902.

How to find the GCF of 90886 and 90902?

We will first find the prime factorization of 90886 and 90902. After we will calculate the factors of 90886 and 90902 and find the biggest common factor number .

Step-1: Prime Factorization of 90886

Prime factors of 90886 are 2, 29, 1567. Prime factorization of 90886 in exponential form is:

90886 = 2¹ × 29¹ × 1567¹

Step-2: Prime Factorization of 90902

Prime factors of 90902 are 2, 7, 43, 151. Prime factorization of 90902 in exponential form is:

90902 = 2¹ × 7¹ × 43¹ × 151¹

Step-3: Factors of 90886

List of positive integer factors of 90886 that divides 90886 without a remainder.

1, 2, 29, 58, 1567, 3134, 45443

Step-4: Factors of 90902

List of positive integer factors of 90902 that divides 90886 without a remainder.

1, 2, 7, 14, 43, 86, 151, 301, 302, 602, 1057, 2114, 6493, 12986, 45451

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90886 and 90902. The biggest common factor number is the GCF number.
So the greatest common factor 90886 and 90902 is 2.

Also check out the Least Common Multiple of 90886 and 90902