What is the Greatest Common Factor of 44070 and 44083?

Greatest common factor (GCF) of 44070 and 44083 is 13.

GCF(44070,44083) = 13

We will now calculate the prime factors of 44070 and 44083, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44070 and 44083.

How to find the GCF of 44070 and 44083?

We will first find the prime factorization of 44070 and 44083. After we will calculate the factors of 44070 and 44083 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 44083

Prime factors of 44083 are 13, 3391. Prime factorization of 44083 in exponential form is:

44083 = 13¹ × 3391¹

Step-3: Factors of 44070

List of positive integer factors of 44070 that divides 44070 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

Step-4: Factors of 44083

List of positive integer factors of 44083 that divides 44070 without a remainder.

1, 13, 3391

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44070 and 44083. The biggest common factor number is the GCF number.
So the greatest common factor 44070 and 44083 is 13.

Also check out the Least Common Multiple of 44070 and 44083