What is the Greatest Common Factor of 62398 and 62412?

Greatest common factor (GCF) of 62398 and 62412 is 14.

GCF(62398,62412) = 14

We will now calculate the prime factors of 62398 and 62412, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62398 and 62412.

How to find the GCF of 62398 and 62412?

We will first find the prime factorization of 62398 and 62412. After we will calculate the factors of 62398 and 62412 and find the biggest common factor number .

Step-1: Prime Factorization of 62398

Prime factors of 62398 are 2, 7, 4457. Prime factorization of 62398 in exponential form is:

62398 = 2¹ × 7¹ × 4457¹

Step-2: Prime Factorization of 62412

Prime factors of 62412 are 2, 3, 7, 743. Prime factorization of 62412 in exponential form is:

62412 = 2² × 3¹ × 7¹ × 743¹

Step-3: Factors of 62398

List of positive integer factors of 62398 that divides 62398 without a remainder.

1, 2, 7, 14, 4457, 8914, 31199

Step-4: Factors of 62412

List of positive integer factors of 62412 that divides 62398 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 743, 1486, 2229, 2972, 4458, 5201, 8916, 10402, 15603, 20804, 31206

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62398 and 62412. The biggest common factor number is the GCF number.
So the greatest common factor 62398 and 62412 is 14.

Also check out the Least Common Multiple of 62398 and 62412