What is the Greatest Common Factor of 44961 and 44976?

Greatest common factor (GCF) of 44961 and 44976 is 3.

GCF(44961,44976) = 3

We will now calculate the prime factors of 44961 and 44976, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44961 and 44976.

How to find the GCF of 44961 and 44976?

We will first find the prime factorization of 44961 and 44976. After we will calculate the factors of 44961 and 44976 and find the biggest common factor number .

Step-1: Prime Factorization of 44961

Prime factors of 44961 are 3, 7, 2141. Prime factorization of 44961 in exponential form is:

44961 = 3¹ × 7¹ × 2141¹

Step-2: Prime Factorization of 44976

Prime factors of 44976 are 2, 3, 937. Prime factorization of 44976 in exponential form is:

44976 = 2⁴ × 3¹ × 937¹

Step-3: Factors of 44961

List of positive integer factors of 44961 that divides 44961 without a remainder.

1, 3, 7, 21, 2141, 6423, 14987

Step-4: Factors of 44976

List of positive integer factors of 44976 that divides 44961 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 937, 1874, 2811, 3748, 5622, 7496, 11244, 14992, 22488

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44961 and 44976. The biggest common factor number is the GCF number.
So the greatest common factor 44961 and 44976 is 3.

Also check out the Least Common Multiple of 44961 and 44976