What is the Greatest Common Factor of 62892 and 62900?

Greatest common factor (GCF) of 62892 and 62900 is 4.

GCF(62892,62900) = 4

We will now calculate the prime factors of 62892 and 62900, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62892 and 62900.

How to find the GCF of 62892 and 62900?

We will first find the prime factorization of 62892 and 62900. After we will calculate the factors of 62892 and 62900 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 62900

Prime factors of 62900 are 2, 5, 17, 37. Prime factorization of 62900 in exponential form is:

62900 = 2² × 5² × 17¹ × 37¹

Step-3: Factors of 62892

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

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

Step-4: Factors of 62900

List of positive integer factors of 62900 that divides 62892 without a remainder.

1, 2, 4, 5, 10, 17, 20, 25, 34, 37, 50, 68, 74, 85, 100, 148, 170, 185, 340, 370, 425, 629, 740, 850, 925, 1258, 1700, 1850, 2516, 3145, 3700, 6290, 12580, 15725, 31450

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62892 and 62900. The biggest common factor number is the GCF number.
So the greatest common factor 62892 and 62900 is 4.

Also check out the Least Common Multiple of 62892 and 62900