What is the Greatest Common Factor of 62200 and 62204?

Greatest common factor (GCF) of 62200 and 62204 is 4.

GCF(62200,62204) = 4

We will now calculate the prime factors of 62200 and 62204, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62200 and 62204.

How to find the GCF of 62200 and 62204?

We will first find the prime factorization of 62200 and 62204. After we will calculate the factors of 62200 and 62204 and find the biggest common factor number .

Step-1: Prime Factorization of 62200

Prime factors of 62200 are 2, 5, 311. Prime factorization of 62200 in exponential form is:

62200 = 2³ × 5² × 311¹

Step-2: Prime Factorization of 62204

Prime factors of 62204 are 2, 15551. Prime factorization of 62204 in exponential form is:

62204 = 2² × 15551¹

Step-3: Factors of 62200

List of positive integer factors of 62200 that divides 62200 without a remainder.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200, 311, 622, 1244, 1555, 2488, 3110, 6220, 7775, 12440, 15550, 31100

Step-4: Factors of 62204

List of positive integer factors of 62204 that divides 62200 without a remainder.

1, 2, 4, 15551, 31102

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62200 and 62204. The biggest common factor number is the GCF number.
So the greatest common factor 62200 and 62204 is 4.

Also check out the Least Common Multiple of 62200 and 62204