What is the Greatest Common Factor of 62872 and 62892?

Greatest common factor (GCF) of 62872 and 62892 is 4.

GCF(62872,62892) = 4

We will now calculate the prime factors of 62872 and 62892, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62872 and 62892.

How to find the GCF of 62872 and 62892?

We will first find the prime factorization of 62872 and 62892. After we will calculate the factors of 62872 and 62892 and find the biggest common factor number .

Step-1: Prime Factorization of 62872

Prime factors of 62872 are 2, 29, 271. Prime factorization of 62872 in exponential form is:

62872 = 2³ × 29¹ × 271¹

Step-2: Prime Factorization of 62892

Prime factors of 62892 are 2, 3, 1747. Prime factorization of 62892 in exponential form is:

62892 = 2² × 3² × 1747¹

Step-3: Factors of 62872

List of positive integer factors of 62872 that divides 62872 without a remainder.

1, 2, 4, 8, 29, 58, 116, 232, 271, 542, 1084, 2168, 7859, 15718, 31436

Step-4: Factors of 62892

List of positive integer factors of 62892 that divides 62872 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 1747, 3494, 5241, 6988, 10482, 15723, 20964, 31446

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62872 and 62892. The biggest common factor number is the GCF number.
So the greatest common factor 62872 and 62892 is 4.

Also check out the Least Common Multiple of 62872 and 62892