What is the Greatest Common Factor of 44730 and 44739?

Greatest common factor (GCF) of 44730 and 44739 is 9.

GCF(44730,44739) = 9

We will now calculate the prime factors of 44730 and 44739, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44730 and 44739.

How to find the GCF of 44730 and 44739?

We will first find the prime factorization of 44730 and 44739. After we will calculate the factors of 44730 and 44739 and find the biggest common factor number .

Step-1: Prime Factorization of 44730

Prime factors of 44730 are 2, 3, 5, 7, 71. Prime factorization of 44730 in exponential form is:

44730 = 2¹ × 3² × 5¹ × 7¹ × 71¹

Step-2: Prime Factorization of 44739

Prime factors of 44739 are 3, 1657. Prime factorization of 44739 in exponential form is:

44739 = 3³ × 1657¹

Step-3: Factors of 44730

List of positive integer factors of 44730 that divides 44730 without a remainder.

1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 71, 90, 105, 126, 142, 210, 213, 315, 355, 426, 497, 630, 639, 710, 994, 1065, 1278, 1491, 2130, 2485, 2982, 3195, 4473, 4970, 6390, 7455, 8946, 14910, 22365

Step-4: Factors of 44739

List of positive integer factors of 44739 that divides 44730 without a remainder.

1, 3, 9, 27, 1657, 4971, 14913

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44730 and 44739. The biggest common factor number is the GCF number.
So the greatest common factor 44730 and 44739 is 9.

Also check out the Least Common Multiple of 44730 and 44739