What is the Greatest Common Factor of 62300 and 62314?

Greatest common factor (GCF) of 62300 and 62314 is 14.

GCF(62300,62314) = 14

We will now calculate the prime factors of 62300 and 62314, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62300 and 62314.

How to find the GCF of 62300 and 62314?

We will first find the prime factorization of 62300 and 62314. After we will calculate the factors of 62300 and 62314 and find the biggest common factor number .

Step-1: Prime Factorization of 62300

Prime factors of 62300 are 2, 5, 7, 89. Prime factorization of 62300 in exponential form is:

62300 = 2² × 5² × 7¹ × 89¹

Step-2: Prime Factorization of 62314

Prime factors of 62314 are 2, 7, 4451. Prime factorization of 62314 in exponential form is:

62314 = 2¹ × 7¹ × 4451¹

Step-3: Factors of 62300

List of positive integer factors of 62300 that divides 62300 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 89, 100, 140, 175, 178, 350, 356, 445, 623, 700, 890, 1246, 1780, 2225, 2492, 3115, 4450, 6230, 8900, 12460, 15575, 31150

Step-4: Factors of 62314

List of positive integer factors of 62314 that divides 62300 without a remainder.

1, 2, 7, 14, 4451, 8902, 31157

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62300 and 62314. The biggest common factor number is the GCF number.
So the greatest common factor 62300 and 62314 is 14.

Also check out the Least Common Multiple of 62300 and 62314