What is the Greatest Common Factor of 44055 and 44070?

Greatest common factor (GCF) of 44055 and 44070 is 15.

GCF(44055,44070) = 15

We will now calculate the prime factors of 44055 and 44070, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44055 and 44070.

How to find the GCF of 44055 and 44070?

We will first find the prime factorization of 44055 and 44070. After we will calculate the factors of 44055 and 44070 and find the biggest common factor number .

Step-1: Prime Factorization of 44055

Prime factors of 44055 are 3, 5, 11, 89. Prime factorization of 44055 in exponential form is:

44055 = 3² × 5¹ × 11¹ × 89¹

Step-2: Prime Factorization of 44070

Prime factors of 44070 are 2, 3, 5, 13, 113. Prime factorization of 44070 in exponential form is:

44070 = 2¹ × 3¹ × 5¹ × 13¹ × 113¹

Step-3: Factors of 44055

List of positive integer factors of 44055 that divides 44055 without a remainder.

1, 3, 5, 9, 11, 15, 33, 45, 55, 89, 99, 165, 267, 445, 495, 801, 979, 1335, 2937, 4005, 4895, 8811, 14685

Step-4: Factors of 44070

List of positive integer factors of 44070 that divides 44055 without a remainder.

1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 113, 130, 195, 226, 339, 390, 565, 678, 1130, 1469, 1695, 2938, 3390, 4407, 7345, 8814, 14690, 22035

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44055 and 44070. The biggest common factor number is the GCF number.
So the greatest common factor 44055 and 44070 is 15.

Also check out the Least Common Multiple of 44055 and 44070