What is the Greatest Common Factor of 90428 and 90436?

Greatest common factor (GCF) of 90428 and 90436 is 4.

GCF(90428,90436) = 4

We will now calculate the prime factors of 90428 and 90436, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90428 and 90436.

How to find the GCF of 90428 and 90436?

We will first find the prime factorization of 90428 and 90436. After we will calculate the factors of 90428 and 90436 and find the biggest common factor number .

Step-1: Prime Factorization of 90428

Prime factors of 90428 are 2, 13, 37, 47. Prime factorization of 90428 in exponential form is:

90428 = 2² × 13¹ × 37¹ × 47¹

Step-2: Prime Factorization of 90436

Prime factors of 90436 are 2, 23, 983. Prime factorization of 90436 in exponential form is:

90436 = 2² × 23¹ × 983¹

Step-3: Factors of 90428

List of positive integer factors of 90428 that divides 90428 without a remainder.

1, 2, 4, 13, 26, 37, 47, 52, 74, 94, 148, 188, 481, 611, 962, 1222, 1739, 1924, 2444, 3478, 6956, 22607, 45214

Step-4: Factors of 90436

List of positive integer factors of 90436 that divides 90428 without a remainder.

1, 2, 4, 23, 46, 92, 983, 1966, 3932, 22609, 45218

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90428 and 90436. The biggest common factor number is the GCF number.
So the greatest common factor 90428 and 90436 is 4.

Also check out the Least Common Multiple of 90428 and 90436