What is the Greatest Common Factor of 57614 and 57629?

Greatest common factor (GCF) of 57614 and 57629 is 1.

GCF(57614,57629) = 1

We will now calculate the prime factors of 57614 and 57629, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57614 and 57629.

How to find the GCF of 57614 and 57629?

We will first find the prime factorization of 57614 and 57629. After we will calculate the factors of 57614 and 57629 and find the biggest common factor number .

Step-1: Prime Factorization of 57614

Prime factors of 57614 are 2, 28807. Prime factorization of 57614 in exponential form is:

57614 = 2¹ × 28807¹

Step-2: 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-3: Factors of 57614

List of positive integer factors of 57614 that divides 57614 without a remainder.

1, 2, 28807

Step-4: Factors of 57629

List of positive integer factors of 57629 that divides 57614 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57614 and 57629. The biggest common factor number is the GCF number.
So the greatest common factor 57614 and 57629 is 1.

Also check out the Least Common Multiple of 57614 and 57629