What is the Greatest Common Factor of 62596 and 62600?

Greatest common factor (GCF) of 62596 and 62600 is 4.

GCF(62596,62600) = 4

We will now calculate the prime factors of 62596 and 62600, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62596 and 62600.

How to find the GCF of 62596 and 62600?

We will first find the prime factorization of 62596 and 62600. After we will calculate the factors of 62596 and 62600 and find the biggest common factor number .

Step-1: Prime Factorization of 62596

Prime factors of 62596 are 2, 15649. Prime factorization of 62596 in exponential form is:

62596 = 2² × 15649¹

Step-2: Prime Factorization of 62600

Prime factors of 62600 are 2, 5, 313. Prime factorization of 62600 in exponential form is:

62600 = 2³ × 5² × 313¹

Step-3: Factors of 62596

List of positive integer factors of 62596 that divides 62596 without a remainder.

1, 2, 4, 15649, 31298

Step-4: Factors of 62600

List of positive integer factors of 62600 that divides 62596 without a remainder.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200, 313, 626, 1252, 1565, 2504, 3130, 6260, 7825, 12520, 15650, 31300

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62596 and 62600. The biggest common factor number is the GCF number.
So the greatest common factor 62596 and 62600 is 4.

Also check out the Least Common Multiple of 62596 and 62600