What is the Greatest Common Factor of 57629 and 57643?

Greatest common factor (GCF) of 57629 and 57643 is 1.

GCF(57629,57643) = 1

We will now calculate the prime factors of 57629 and 57643, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57629 and 57643.

How to find the GCF of 57629 and 57643?

We will first find the prime factorization of 57629 and 57643. After we will calculate the factors of 57629 and 57643 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 57643

Prime factors of 57643 are 59, 977. Prime factorization of 57643 in exponential form is:

57643 = 59¹ × 977¹

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 57643

List of positive integer factors of 57643 that divides 57629 without a remainder.

1, 59, 977

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57629 and 57643. The biggest common factor number is the GCF number.
So the greatest common factor 57629 and 57643 is 1.

Also check out the Least Common Multiple of 57629 and 57643