What is the Greatest Common Factor of 44570 and 44590?

Greatest common factor (GCF) of 44570 and 44590 is 10.

GCF(44570,44590) = 10

We will now calculate the prime factors of 44570 and 44590, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44570 and 44590.

How to find the GCF of 44570 and 44590?

We will first find the prime factorization of 44570 and 44590. After we will calculate the factors of 44570 and 44590 and find the biggest common factor number .

Step-1: Prime Factorization of 44570

Prime factors of 44570 are 2, 5, 4457. Prime factorization of 44570 in exponential form is:

44570 = 2¹ × 5¹ × 4457¹

Step-2: Prime Factorization of 44590

Prime factors of 44590 are 2, 5, 7, 13. Prime factorization of 44590 in exponential form is:

44590 = 2¹ × 5¹ × 7³ × 13¹

Step-3: Factors of 44570

List of positive integer factors of 44570 that divides 44570 without a remainder.

1, 2, 5, 10, 4457, 8914, 22285

Step-4: Factors of 44590

List of positive integer factors of 44590 that divides 44570 without a remainder.

1, 2, 5, 7, 10, 13, 14, 26, 35, 49, 65, 70, 91, 98, 130, 182, 245, 343, 455, 490, 637, 686, 910, 1274, 1715, 3185, 3430, 4459, 6370, 8918, 22295

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44570 and 44590. The biggest common factor number is the GCF number.
So the greatest common factor 44570 and 44590 is 10.

Also check out the Least Common Multiple of 44570 and 44590