What is the Greatest Common Factor of 62364 and 62378?

Greatest common factor (GCF) of 62364 and 62378 is 2.

GCF(62364,62378) = 2

We will now calculate the prime factors of 62364 and 62378, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62364 and 62378.

How to find the GCF of 62364 and 62378?

We will first find the prime factorization of 62364 and 62378. After we will calculate the factors of 62364 and 62378 and find the biggest common factor number .

Step-1: Prime Factorization of 62364

Prime factors of 62364 are 2, 3, 5197. Prime factorization of 62364 in exponential form is:

62364 = 2² × 3¹ × 5197¹

Step-2: Prime Factorization of 62378

Prime factors of 62378 are 2, 31189. Prime factorization of 62378 in exponential form is:

62378 = 2¹ × 31189¹

Step-3: Factors of 62364

List of positive integer factors of 62364 that divides 62364 without a remainder.

1, 2, 3, 4, 6, 12, 5197, 10394, 15591, 20788, 31182

Step-4: Factors of 62378

List of positive integer factors of 62378 that divides 62364 without a remainder.

1, 2, 31189

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62364 and 62378. The biggest common factor number is the GCF number.
So the greatest common factor 62364 and 62378 is 2.

Also check out the Least Common Multiple of 62364 and 62378