What is the Greatest Common Factor of 62280 and 62300?

Greatest common factor (GCF) of 62280 and 62300 is 20.

GCF(62280,62300) = 20

We will now calculate the prime factors of 62280 and 62300, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62280 and 62300.

How to find the GCF of 62280 and 62300?

We will first find the prime factorization of 62280 and 62300. After we will calculate the factors of 62280 and 62300 and find the biggest common factor number .

Step-1: Prime Factorization of 62280

Prime factors of 62280 are 2, 3, 5, 173. Prime factorization of 62280 in exponential form is:

62280 = 2³ × 3² × 5¹ × 173¹

Step-2: 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-3: Factors of 62280

List of positive integer factors of 62280 that divides 62280 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 173, 180, 346, 360, 519, 692, 865, 1038, 1384, 1557, 1730, 2076, 2595, 3114, 3460, 4152, 5190, 6228, 6920, 7785, 10380, 12456, 15570, 20760, 31140

Step-4: Factors of 62300

List of positive integer factors of 62300 that divides 62280 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62280 and 62300. The biggest common factor number is the GCF number.
So the greatest common factor 62280 and 62300 is 20.

Also check out the Least Common Multiple of 62280 and 62300