What is the Greatest Common Factor of 57629 and 57640?

Greatest common factor (GCF) of 57629 and 57640 is 11.

GCF(57629,57640) = 11

We will now calculate the prime factors of 57629 and 57640, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57629 and 57640.

How to find the GCF of 57629 and 57640?

We will first find the prime factorization of 57629 and 57640. After we will calculate the factors of 57629 and 57640 and find the biggest common factor number .

Step-1: Prime Factorization of 57629

Prime factors of 57629 are 11, 13, 31. Prime factorization of 57629 in exponential form is:

57629 = 11¹ × 13² × 31¹

Step-2: Prime Factorization of 57640

Prime factors of 57640 are 2, 5, 11, 131. Prime factorization of 57640 in exponential form is:

57640 = 2³ × 5¹ × 11¹ × 131¹

Step-3: Factors of 57629

List of positive integer factors of 57629 that divides 57629 without a remainder.

1, 11, 13, 31, 143, 169, 341, 403, 1859, 4433, 5239

Step-4: Factors of 57640

List of positive integer factors of 57640 that divides 57629 without a remainder.

1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 131, 220, 262, 440, 524, 655, 1048, 1310, 1441, 2620, 2882, 5240, 5764, 7205, 11528, 14410, 28820

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57629 and 57640. The biggest common factor number is the GCF number.
So the greatest common factor 57629 and 57640 is 11.

Also check out the Least Common Multiple of 57629 and 57640