What is the Greatest Common Factor of 44949 and 44961?

Greatest common factor (GCF) of 44949 and 44961 is 3.

GCF(44949,44961) = 3

We will now calculate the prime factors of 44949 and 44961, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44949 and 44961.

How to find the GCF of 44949 and 44961?

We will first find the prime factorization of 44949 and 44961. After we will calculate the factors of 44949 and 44961 and find the biggest common factor number .

Step-1: Prime Factorization of 44949

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

44949 = 3¹ × 14983¹

Step-2: 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-3: Factors of 44949

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

1, 3, 14983

Step-4: Factors of 44961

List of positive integer factors of 44961 that divides 44949 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44949 and 44961. The biggest common factor number is the GCF number.
So the greatest common factor 44949 and 44961 is 3.

Also check out the Least Common Multiple of 44949 and 44961