What is the Greatest Common Factor of 44968 and 44977?

Greatest common factor (GCF) of 44968 and 44977 is 1.

GCF(44968,44977) = 1

We will now calculate the prime factors of 44968 and 44977, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44968 and 44977.

How to find the GCF of 44968 and 44977?

We will first find the prime factorization of 44968 and 44977. After we will calculate the factors of 44968 and 44977 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 44977

Prime factors of 44977 are 41, 1097. Prime factorization of 44977 in exponential form is:

44977 = 41¹ × 1097¹

Step-3: Factors of 44968

List of positive integer factors of 44968 that divides 44968 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

Step-4: Factors of 44977

List of positive integer factors of 44977 that divides 44968 without a remainder.

1, 41, 1097

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44968 and 44977. The biggest common factor number is the GCF number.
So the greatest common factor 44968 and 44977 is 1.

Also check out the Least Common Multiple of 44968 and 44977