What is the Greatest Common Factor of 90712 and 90722?

Greatest common factor (GCF) of 90712 and 90722 is 2.

GCF(90712,90722) = 2

We will now calculate the prime factors of 90712 and 90722, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90712 and 90722.

How to find the GCF of 90712 and 90722?

We will first find the prime factorization of 90712 and 90722. After we will calculate the factors of 90712 and 90722 and find the biggest common factor number .

Step-1: Prime Factorization of 90712

Prime factors of 90712 are 2, 17, 23, 29. Prime factorization of 90712 in exponential form is:

90712 = 2³ × 17¹ × 23¹ × 29¹

Step-2: Prime Factorization of 90722

Prime factors of 90722 are 2, 45361. Prime factorization of 90722 in exponential form is:

90722 = 2¹ × 45361¹

Step-3: Factors of 90712

List of positive integer factors of 90712 that divides 90712 without a remainder.

1, 2, 4, 8, 17, 23, 29, 34, 46, 58, 68, 92, 116, 136, 184, 232, 391, 493, 667, 782, 986, 1334, 1564, 1972, 2668, 3128, 3944, 5336, 11339, 22678, 45356

Step-4: Factors of 90722

List of positive integer factors of 90722 that divides 90712 without a remainder.

1, 2, 45361

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90712 and 90722. The biggest common factor number is the GCF number.
So the greatest common factor 90712 and 90722 is 2.

Also check out the Least Common Multiple of 90712 and 90722