What is the Greatest Common Factor of 62428 and 62436?

Greatest common factor (GCF) of 62428 and 62436 is 4.

GCF(62428,62436) = 4

We will now calculate the prime factors of 62428 and 62436, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62428 and 62436.

How to find the GCF of 62428 and 62436?

We will first find the prime factorization of 62428 and 62436. After we will calculate the factors of 62428 and 62436 and find the biggest common factor number .

Step-1: Prime Factorization of 62428

Prime factors of 62428 are 2, 15607. Prime factorization of 62428 in exponential form is:

62428 = 2² × 15607¹

Step-2: Prime Factorization of 62436

Prime factors of 62436 are 2, 3, 11, 43. Prime factorization of 62436 in exponential form is:

62436 = 2² × 3¹ × 11² × 43¹

Step-3: Factors of 62428

List of positive integer factors of 62428 that divides 62428 without a remainder.

1, 2, 4, 15607, 31214

Step-4: Factors of 62436

List of positive integer factors of 62436 that divides 62428 without a remainder.

1, 2, 3, 4, 6, 11, 12, 22, 33, 43, 44, 66, 86, 121, 129, 132, 172, 242, 258, 363, 473, 484, 516, 726, 946, 1419, 1452, 1892, 2838, 5203, 5676, 10406, 15609, 20812, 31218

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62428 and 62436. The biggest common factor number is the GCF number.
So the greatest common factor 62428 and 62436 is 4.

Also check out the Least Common Multiple of 62428 and 62436