What is the Greatest Common Factor of 44120 and 44135?

Greatest common factor (GCF) of 44120 and 44135 is 5.

GCF(44120,44135) = 5

We will now calculate the prime factors of 44120 and 44135, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44120 and 44135.

How to find the GCF of 44120 and 44135?

We will first find the prime factorization of 44120 and 44135. After we will calculate the factors of 44120 and 44135 and find the biggest common factor number .

Step-1: Prime Factorization of 44120

Prime factors of 44120 are 2, 5, 1103. Prime factorization of 44120 in exponential form is:

44120 = 2³ × 5¹ × 1103¹

Step-2: Prime Factorization of 44135

Prime factors of 44135 are 5, 7, 13, 97. Prime factorization of 44135 in exponential form is:

44135 = 5¹ × 7¹ × 13¹ × 97¹

Step-3: Factors of 44120

List of positive integer factors of 44120 that divides 44120 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 1103, 2206, 4412, 5515, 8824, 11030, 22060

Step-4: Factors of 44135

List of positive integer factors of 44135 that divides 44120 without a remainder.

1, 5, 7, 13, 35, 65, 91, 97, 455, 485, 679, 1261, 3395, 6305, 8827

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44120 and 44135. The biggest common factor number is the GCF number.
So the greatest common factor 44120 and 44135 is 5.

Also check out the Least Common Multiple of 44120 and 44135