What is the Greatest Common Factor of 62350 and 62364?

Greatest common factor (GCF) of 62350 and 62364 is 2.

GCF(62350,62364) = 2

We will now calculate the prime factors of 62350 and 62364, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62350 and 62364.

How to find the GCF of 62350 and 62364?

We will first find the prime factorization of 62350 and 62364. After we will calculate the factors of 62350 and 62364 and find the biggest common factor number .

Step-1: Prime Factorization of 62350

Prime factors of 62350 are 2, 5, 29, 43. Prime factorization of 62350 in exponential form is:

62350 = 2¹ × 5² × 29¹ × 43¹

Step-2: 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-3: Factors of 62350

List of positive integer factors of 62350 that divides 62350 without a remainder.

1, 2, 5, 10, 25, 29, 43, 50, 58, 86, 145, 215, 290, 430, 725, 1075, 1247, 1450, 2150, 2494, 6235, 12470, 31175

Step-4: Factors of 62364

List of positive integer factors of 62364 that divides 62350 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62350 and 62364. The biggest common factor number is the GCF number.
So the greatest common factor 62350 and 62364 is 2.

Also check out the Least Common Multiple of 62350 and 62364