What is the Greatest Common Factor of 62414 and 62420?

Greatest common factor (GCF) of 62414 and 62420 is 2.

GCF(62414,62420) = 2

We will now calculate the prime factors of 62414 and 62420, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62414 and 62420.

How to find the GCF of 62414 and 62420?

We will first find the prime factorization of 62414 and 62420. After we will calculate the factors of 62414 and 62420 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 62420

Prime factors of 62420 are 2, 5, 3121. Prime factorization of 62420 in exponential form is:

62420 = 2² × 5¹ × 3121¹

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 62420

List of positive integer factors of 62420 that divides 62414 without a remainder.

1, 2, 4, 5, 10, 20, 3121, 6242, 12484, 15605, 31210

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62414 and 62420. The biggest common factor number is the GCF number.
So the greatest common factor 62414 and 62420 is 2.

Also check out the Least Common Multiple of 62414 and 62420