What is the Greatest Common Factor of 44940 and 44949?

Greatest common factor (GCF) of 44940 and 44949 is 3.

GCF(44940,44949) = 3

We will now calculate the prime factors of 44940 and 44949, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44940 and 44949.

How to find the GCF of 44940 and 44949?

We will first find the prime factorization of 44940 and 44949. After we will calculate the factors of 44940 and 44949 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 44949

Prime factors of 44949 are 3, 14983. Prime factorization of 44949 in exponential form is:

44949 = 3¹ × 14983¹

Step-3: Factors of 44940

List of positive integer factors of 44940 that divides 44940 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

Step-4: Factors of 44949

List of positive integer factors of 44949 that divides 44940 without a remainder.

1, 3, 14983

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44940 and 44949. The biggest common factor number is the GCF number.
So the greatest common factor 44940 and 44949 is 3.

Also check out the Least Common Multiple of 44940 and 44949