What is the Greatest Common Factor of 35428 and 35436?

Greatest common factor (GCF) of 35428 and 35436 is 4.

GCF(35428,35436) = 4

We will now calculate the prime factors of 35428 and 35436, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35428 and 35436.

How to find the GCF of 35428 and 35436?

We will first find the prime factorization of 35428 and 35436. After we will calculate the factors of 35428 and 35436 and find the biggest common factor number .

Step-1: Prime Factorization of 35428

Prime factors of 35428 are 2, 17, 521. Prime factorization of 35428 in exponential form is:

35428 = 2² × 17¹ × 521¹

Step-2: Prime Factorization of 35436

Prime factors of 35436 are 2, 3, 2953. Prime factorization of 35436 in exponential form is:

35436 = 2² × 3¹ × 2953¹

Step-3: Factors of 35428

List of positive integer factors of 35428 that divides 35428 without a remainder.

1, 2, 4, 17, 34, 68, 521, 1042, 2084, 8857, 17714

Step-4: Factors of 35436

List of positive integer factors of 35436 that divides 35428 without a remainder.

1, 2, 3, 4, 6, 12, 2953, 5906, 8859, 11812, 17718

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35428 and 35436. The biggest common factor number is the GCF number.
So the greatest common factor 35428 and 35436 is 4.

Also check out the Least Common Multiple of 35428 and 35436