What is the Greatest Common Factor of 51583 and 51590?

Greatest common factor (GCF) of 51583 and 51590 is 7.

GCF(51583,51590) = 7

We will now calculate the prime factors of 51583 and 51590, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51583 and 51590.

How to find the GCF of 51583 and 51590?

We will first find the prime factorization of 51583 and 51590. After we will calculate the factors of 51583 and 51590 and find the biggest common factor number .

Step-1: Prime Factorization of 51583

Prime factors of 51583 are 7, 7369. Prime factorization of 51583 in exponential form is:

51583 = 7¹ × 7369¹

Step-2: Prime Factorization of 51590

Prime factors of 51590 are 2, 5, 7, 11, 67. Prime factorization of 51590 in exponential form is:

51590 = 2¹ × 5¹ × 7¹ × 11¹ × 67¹

Step-3: Factors of 51583

List of positive integer factors of 51583 that divides 51583 without a remainder.

1, 7, 7369

Step-4: Factors of 51590

List of positive integer factors of 51590 that divides 51583 without a remainder.

1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 67, 70, 77, 110, 134, 154, 335, 385, 469, 670, 737, 770, 938, 1474, 2345, 3685, 4690, 5159, 7370, 10318, 25795

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51583 and 51590. The biggest common factor number is the GCF number.
So the greatest common factor 51583 and 51590 is 7.

Also check out the Least Common Multiple of 51583 and 51590