What is the Greatest Common Factor of 62600 and 62614?

Greatest common factor (GCF) of 62600 and 62614 is 2.

GCF(62600,62614) = 2

We will now calculate the prime factors of 62600 and 62614, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62600 and 62614.

How to find the GCF of 62600 and 62614?

We will first find the prime factorization of 62600 and 62614. After we will calculate the factors of 62600 and 62614 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 62614

Prime factors of 62614 are 2, 31307. Prime factorization of 62614 in exponential form is:

62614 = 2¹ × 31307¹

Step-3: Factors of 62600

List of positive integer factors of 62600 that divides 62600 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

Step-4: Factors of 62614

List of positive integer factors of 62614 that divides 62600 without a remainder.

1, 2, 31307

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62600 and 62614. The biggest common factor number is the GCF number.
So the greatest common factor 62600 and 62614 is 2.

Also check out the Least Common Multiple of 62600 and 62614