What is the Greatest Common Factor of 62414 and 62425?

Greatest common factor (GCF) of 62414 and 62425 is 11.

GCF(62414,62425) = 11

We will now calculate the prime factors of 62414 and 62425, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62414 and 62425.

How to find the GCF of 62414 and 62425?

We will first find the prime factorization of 62414 and 62425. After we will calculate the factors of 62414 and 62425 and find the biggest common factor number .

Step-1: Prime Factorization of 62414

Prime factors of 62414 are 2, 11, 2837. Prime factorization of 62414 in exponential form is:

62414 = 2¹ × 11¹ × 2837¹

Step-2: Prime Factorization of 62425

Prime factors of 62425 are 5, 11, 227. Prime factorization of 62425 in exponential form is:

62425 = 5² × 11¹ × 227¹

Step-3: Factors of 62414

List of positive integer factors of 62414 that divides 62414 without a remainder.

1, 2, 11, 22, 2837, 5674, 31207

Step-4: Factors of 62425

List of positive integer factors of 62425 that divides 62414 without a remainder.

1, 5, 11, 25, 55, 227, 275, 1135, 2497, 5675, 12485

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62414 and 62425. The biggest common factor number is the GCF number.
So the greatest common factor 62414 and 62425 is 11.

Also check out the Least Common Multiple of 62414 and 62425