What is the Greatest Common Factor of 90692 and 90712?

Greatest common factor (GCF) of 90692 and 90712 is 4.

GCF(90692,90712) = 4

We will now calculate the prime factors of 90692 and 90712, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90692 and 90712.

How to find the GCF of 90692 and 90712?

We will first find the prime factorization of 90692 and 90712. After we will calculate the factors of 90692 and 90712 and find the biggest common factor number .

Step-1: Prime Factorization of 90692

Prime factors of 90692 are 2, 7, 41, 79. Prime factorization of 90692 in exponential form is:

90692 = 2² × 7¹ × 41¹ × 79¹

Step-2: 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-3: Factors of 90692

List of positive integer factors of 90692 that divides 90692 without a remainder.

1, 2, 4, 7, 14, 28, 41, 79, 82, 158, 164, 287, 316, 553, 574, 1106, 1148, 2212, 3239, 6478, 12956, 22673, 45346

Step-4: Factors of 90712

List of positive integer factors of 90712 that divides 90692 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90692 and 90712. The biggest common factor number is the GCF number.
So the greatest common factor 90692 and 90712 is 4.

Also check out the Least Common Multiple of 90692 and 90712