What is the Greatest Common Factor of 62274 and 62280?

Greatest common factor (GCF) of 62274 and 62280 is 6.

GCF(62274,62280) = 6

We will now calculate the prime factors of 62274 and 62280, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62274 and 62280.

How to find the GCF of 62274 and 62280?

We will first find the prime factorization of 62274 and 62280. After we will calculate the factors of 62274 and 62280 and find the biggest common factor number .

Step-1: Prime Factorization of 62274

Prime factors of 62274 are 2, 3, 97, 107. Prime factorization of 62274 in exponential form is:

62274 = 2¹ × 3¹ × 97¹ × 107¹

Step-2: 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-3: Factors of 62274

List of positive integer factors of 62274 that divides 62274 without a remainder.

1, 2, 3, 6, 97, 107, 194, 214, 291, 321, 582, 642, 10379, 20758, 31137

Step-4: Factors of 62280

List of positive integer factors of 62280 that divides 62274 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62274 and 62280. The biggest common factor number is the GCF number.
So the greatest common factor 62274 and 62280 is 6.

Also check out the Least Common Multiple of 62274 and 62280