What is the Greatest Common Factor of 44961 and 44967?

Greatest common factor (GCF) of 44961 and 44967 is 3.

GCF(44961,44967) = 3

We will now calculate the prime factors of 44961 and 44967, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44961 and 44967.

How to find the GCF of 44961 and 44967?

We will first find the prime factorization of 44961 and 44967. After we will calculate the factors of 44961 and 44967 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 44967

Prime factors of 44967 are 3, 13, 1153. Prime factorization of 44967 in exponential form is:

44967 = 3¹ × 13¹ × 1153¹

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 44967

List of positive integer factors of 44967 that divides 44961 without a remainder.

1, 3, 13, 39, 1153, 3459, 14989

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44961 and 44967. The biggest common factor number is the GCF number.
So the greatest common factor 44961 and 44967 is 3.

Also check out the Least Common Multiple of 44961 and 44967