What is the Greatest Common Factor of 44967 and 44980?

Greatest common factor (GCF) of 44967 and 44980 is 13.

GCF(44967,44980) = 13

We will now calculate the prime factors of 44967 and 44980, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44967 and 44980.

How to find the GCF of 44967 and 44980?

We will first find the prime factorization of 44967 and 44980. After we will calculate the factors of 44967 and 44980 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 44980

Prime factors of 44980 are 2, 5, 13, 173. Prime factorization of 44980 in exponential form is:

44980 = 2² × 5¹ × 13¹ × 173¹

Step-3: Factors of 44967

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

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

Step-4: Factors of 44980

List of positive integer factors of 44980 that divides 44967 without a remainder.

1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 173, 260, 346, 692, 865, 1730, 2249, 3460, 4498, 8996, 11245, 22490

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44967 and 44980. The biggest common factor number is the GCF number.
So the greatest common factor 44967 and 44980 is 13.

Also check out the Least Common Multiple of 44967 and 44980