What is the Greatest Common Factor of 44933 and 44940?

Greatest common factor (GCF) of 44933 and 44940 is 7.

GCF(44933,44940) = 7

We will now calculate the prime factors of 44933 and 44940, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44933 and 44940.

How to find the GCF of 44933 and 44940?

We will first find the prime factorization of 44933 and 44940. After we will calculate the factors of 44933 and 44940 and find the biggest common factor number .

Step-1: Prime Factorization of 44933

Prime factors of 44933 are 7, 131. Prime factorization of 44933 in exponential form is:

44933 = 7³ × 131¹

Step-2: Prime Factorization of 44940

Prime factors of 44940 are 2, 3, 5, 7, 107. Prime factorization of 44940 in exponential form is:

44940 = 2² × 3¹ × 5¹ × 7¹ × 107¹

Step-3: Factors of 44933

List of positive integer factors of 44933 that divides 44933 without a remainder.

1, 7, 49, 131, 343, 917, 6419

Step-4: Factors of 44940

List of positive integer factors of 44940 that divides 44933 without a remainder.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 107, 140, 210, 214, 321, 420, 428, 535, 642, 749, 1070, 1284, 1498, 1605, 2140, 2247, 2996, 3210, 3745, 4494, 6420, 7490, 8988, 11235, 14980, 22470

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44933 and 44940. The biggest common factor number is the GCF number.
So the greatest common factor 44933 and 44940 is 7.

Also check out the Least Common Multiple of 44933 and 44940