What is the Greatest Common Factor of 44940 and 44952?

Greatest common factor (GCF) of 44940 and 44952 is 12.

GCF(44940,44952) = 12

We will now calculate the prime factors of 44940 and 44952, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44940 and 44952.

How to find the GCF of 44940 and 44952?

We will first find the prime factorization of 44940 and 44952. After we will calculate the factors of 44940 and 44952 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 44952

Prime factors of 44952 are 2, 3, 1873. Prime factorization of 44952 in exponential form is:

44952 = 2³ × 3¹ × 1873¹

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 44952

List of positive integer factors of 44952 that divides 44940 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 1873, 3746, 5619, 7492, 11238, 14984, 22476

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44940 and 44952. The biggest common factor number is the GCF number.
So the greatest common factor 44940 and 44952 is 12.

Also check out the Least Common Multiple of 44940 and 44952