What is the Greatest Common Factor of 44955 and 44968?

Greatest common factor (GCF) of 44955 and 44968 is 1.

GCF(44955,44968) = 1

We will now calculate the prime factors of 44955 and 44968, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44955 and 44968.

How to find the GCF of 44955 and 44968?

We will first find the prime factorization of 44955 and 44968. After we will calculate the factors of 44955 and 44968 and find the biggest common factor number .

Step-1: Prime Factorization of 44955

Prime factors of 44955 are 3, 5, 37. Prime factorization of 44955 in exponential form is:

44955 = 3⁵ × 5¹ × 37¹

Step-2: Prime Factorization of 44968

Prime factors of 44968 are 2, 7, 11, 73. Prime factorization of 44968 in exponential form is:

44968 = 2³ × 7¹ × 11¹ × 73¹

Step-3: Factors of 44955

List of positive integer factors of 44955 that divides 44955 without a remainder.

1, 3, 5, 9, 15, 27, 37, 45, 81, 111, 135, 185, 243, 333, 405, 555, 999, 1215, 1665, 2997, 4995, 8991, 14985

Step-4: Factors of 44968

List of positive integer factors of 44968 that divides 44955 without a remainder.

1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 73, 77, 88, 146, 154, 292, 308, 511, 584, 616, 803, 1022, 1606, 2044, 3212, 4088, 5621, 6424, 11242, 22484

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44955 and 44968. The biggest common factor number is the GCF number.
So the greatest common factor 44955 and 44968 is 1.

Also check out the Least Common Multiple of 44955 and 44968